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Differential Geometry, Part 1
 
S. S. Chern
R. Osserman
Differential Geometry, Part 1
Softcover ISBN:  978-0-8218-0247-2
Product Code:  PSPUM/27.1
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9313-5
Product Code:  PSPUM/27.1.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Softcover ISBN:  978-0-8218-0247-2
eBook: ISBN:  978-0-8218-9313-5
Product Code:  PSPUM/27.1.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Add to cart
Differential Geometry, Part 1
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Differential Geometry, Part 1
S. S. Chern
R. Osserman
Softcover ISBN:  978-0-8218-0247-2
Product Code:  PSPUM/27.1
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9313-5
Product Code:  PSPUM/27.1.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Softcover ISBN:  978-0-8218-0247-2
eBook ISBN:  978-0-8218-9313-5
Product Code:  PSPUM/27.1.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Add to cart
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 27; 1975; 451 pp
    MSC: Primary 55

    Contains sections on Riemannian geometry, Submanifolds, Foliations, Algebraic and piecewise linear topology, Miscellaneous
    This item is also available as part of a set:
  • Table of Contents
     
     
    • Riemannian geometry
    • L. Bérard-Bergery, J. P. Bourguignon and J. Lafontaine — Déformations localement triviales des variétés Riemanniennes [ MR 0388467 ]
    • Jean Pierre Bourguignon — Some constructions related to H. Hopf’s conjecture on product manifolds
    • Kuo Tsai Chen — Connections, holonomy and path space homology [ MR 0440540 ]
    • A. Crumeyrolle — Spin fibrations over manifolds and generalised twistors [ MR 0440474 ]
    • Paul Ewing Ehrlich — Local convex deformations of Ricci and sectional curvature on compact manifolds [ MR 0383315 ]
    • James L. Heitsch and H. Blaine Lawson, Jr. — Transgressions, Chern-Simons invariants and the classical groups
    • Horacio Hernández-Andrade — A class of compact manifolds with positive Ricci curvature [ MR 0380668 ]
    • Mu Chou Liu — Tangent bundles with Sasaki metric [ MR 0420510 ]
    • Yosio Mutō — Curvature and critical Riemannian metric
    • Howard Osborn — Axioms for the Euler characteristic
    • John J O’Sullivan — Riemannian manifolds without conjugate points
    • Rolf Walter — Local and global properties of convex sets in Riemannian spaces
    • Alan Weinstein — On the volume of manifolds all of whose geodesics are closed
    • Submanifolds
    • David E. Blair — On a generalization of the catenoid
    • Thomas E. Cecil — Geometric applications of critical point theory to submanifolds of complex projective space and hyperbolic space [ MR 0377768 ]
    • Bang-yen Chen — Mean curvature vector of a submanifold [ MR 0377769 ]
    • Robert B. Gardner — Geometry of submanifolds of euclidean spaces [ MR 0380680 ]
    • S. I. Goldberg — The Hopf conjecture concerning surfaces in $E^3$
    • Nathaniel Grossman — Relative Chern-Lashof theorems
    • David Hoffman and Joel Spruck — A Sobolev inequality for Riemannian submanifolds [ MR 0377771 ]
    • H. Blaine Lawson, Jr. — Minimal varieties [ MR 0380597 ]
    • Gerald D. Ludden and Koichi Ogiue — On a holomorphic analogue of vanishing normal scalar curvature [ MR 0377784 ]
    • Tilla Klotz Milnor — Complete, open surfaces in $E^3$ [ MR 0380636 ]
    • Tadashi Nagano and Brian Smyth — Minimal varieties in tori [ MR 0417993 ]
    • Katsumi Nomizu — Élie Cartan’s work on isoparametric families of hypersurfaces [ MR 0423260 ]
    • Koichi Ogiue — On Kaehler submanifolds [ MR 0377786 ]
    • Robert Osserman — Isoperimetric and related inequalitites [ MR 0385686 ]
    • Tominosuke Ôtsuki — Minimal submanifolds with $m$-index $2$ [ MR 0390975 ]
    • William F. Pohl — A problem of Ordnungsgeometrie [ MR 0383326 ]
    • Robert C. Reilly — On the Hessian of a function and the curvatures of its graph
    • Donald H. Singley — Pairs of metrics on parallel hypersurfaces and ovaloids [ MR 0390979 ]
    • Michael Spivak — Some left-over problems from classical differential geometry [ MR 0420516 ]
    • Kentaro Yano — Manifolds and submanifolds with vanishing Weyl or Bochner curvature tensor
    • Foliations
    • B. Cenkl — On the de Rham complex of $B\widehat {\Gamma }$ [ MR 0385884 ]
    • Lawrence Conlon — Locally free Lie transformation groups of codimension two [ MR 0375344 ]
    • K. deCesare and T. Nagano — On compact foliations [ MR 0377924 ]
    • Franz W. Kamber and Philippe Tondeur — Semisimplicial Weil algebras and characteristic classes for foliated bundles in Čech cohomology [ MR 0385886 ]
    • Ulrich Koschorke — Line fields transversal to foliations [ MR 0383429 ]
    • Joel Pasternack — Classifying spaces for Riemannian foliations [ MR 0377929 ]
    • Paul A. Schweitzer, S. J. — Codimension one plane fields and foliations
    • Herbert Shulman — The double complex of $\Gamma _k$ [ MR 0375308 ]
    • William P. Thurston — A local construction of foliations for three-manifolds [ MR 0380828 ]
    • William P. Thurston — The theory of foliations of codimension greater than one [ MR 0375345 ]
    • H. E. Winkelnkemper — Locally free actions and Stiefel-Whitney numbers [ MR 0375353 ]
    • Algebraic and piecewise linear topology
    • Thomas F. Banchoff — Stiefel-Whitney homology classes and singularities of projections for polyhedral manifolds [ MR 0377921 ]
    • John D. Blanton and Paul A. Schweitzer, S. J. — Axioms for characteristic classes of manifolds [ MR 0375339 ]
    • Raoul Bott — On the Gelfand-Fuks cohomology [ MR 0380820 ]
    • John S. Maffei — On $H^* (\bar {G}_{s,q};R/Z)$, range group of some Chern-Simons invariants [ MR 0377904 ]
    • Clint McCrory — Euler singularities and homology operations [ MR 0377920 ]
    • John Milnor — Isolated critical points of complex functions [ MR 0375351 ]
    • Howard Osborn — The Chern-Weil construction [ MR 0385882 ]
    • Richard Porter — Characteristic classes and singularities of mappings [ MR 0436172 ]
    • Miscellaneous
    • Richard H. Escobales, Jr. — Riemannian submersions from spheres
    • Leon Green — Some open problems in differential geometry [ MR 0377707 ]
    • Nathaniel Grossman — Some geometrical aspects of geodesy
    • W. Klingenberg — The index theorem for closed geodesics
    • Nicolaas H. Kuiper — The topology of the solutions of a linear homogeneous differential equation on $R^n$
    • Jean E. Taylor — Unique structure of solutions to a class of nonelliptic variational problems [ MR 0388225 ]
    • James H. White — Twist invariants and the Pontryagin numbers of immersed manifolds [ MR 0405455 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Proceedings of Symposia in Pure Mathematics
Volume: 27; 1975; 451 pp
MSC: Primary 55

Contains sections on Riemannian geometry, Submanifolds, Foliations, Algebraic and piecewise linear topology, Miscellaneous
This item is also available as part of a set:
  • Riemannian geometry
  • L. Bérard-Bergery, J. P. Bourguignon and J. Lafontaine — Déformations localement triviales des variétés Riemanniennes [ MR 0388467 ]
  • Jean Pierre Bourguignon — Some constructions related to H. Hopf’s conjecture on product manifolds
  • Kuo Tsai Chen — Connections, holonomy and path space homology [ MR 0440540 ]
  • A. Crumeyrolle — Spin fibrations over manifolds and generalised twistors [ MR 0440474 ]
  • Paul Ewing Ehrlich — Local convex deformations of Ricci and sectional curvature on compact manifolds [ MR 0383315 ]
  • James L. Heitsch and H. Blaine Lawson, Jr. — Transgressions, Chern-Simons invariants and the classical groups
  • Horacio Hernández-Andrade — A class of compact manifolds with positive Ricci curvature [ MR 0380668 ]
  • Mu Chou Liu — Tangent bundles with Sasaki metric [ MR 0420510 ]
  • Yosio Mutō — Curvature and critical Riemannian metric
  • Howard Osborn — Axioms for the Euler characteristic
  • John J O’Sullivan — Riemannian manifolds without conjugate points
  • Rolf Walter — Local and global properties of convex sets in Riemannian spaces
  • Alan Weinstein — On the volume of manifolds all of whose geodesics are closed
  • Submanifolds
  • David E. Blair — On a generalization of the catenoid
  • Thomas E. Cecil — Geometric applications of critical point theory to submanifolds of complex projective space and hyperbolic space [ MR 0377768 ]
  • Bang-yen Chen — Mean curvature vector of a submanifold [ MR 0377769 ]
  • Robert B. Gardner — Geometry of submanifolds of euclidean spaces [ MR 0380680 ]
  • S. I. Goldberg — The Hopf conjecture concerning surfaces in $E^3$
  • Nathaniel Grossman — Relative Chern-Lashof theorems
  • David Hoffman and Joel Spruck — A Sobolev inequality for Riemannian submanifolds [ MR 0377771 ]
  • H. Blaine Lawson, Jr. — Minimal varieties [ MR 0380597 ]
  • Gerald D. Ludden and Koichi Ogiue — On a holomorphic analogue of vanishing normal scalar curvature [ MR 0377784 ]
  • Tilla Klotz Milnor — Complete, open surfaces in $E^3$ [ MR 0380636 ]
  • Tadashi Nagano and Brian Smyth — Minimal varieties in tori [ MR 0417993 ]
  • Katsumi Nomizu — Élie Cartan’s work on isoparametric families of hypersurfaces [ MR 0423260 ]
  • Koichi Ogiue — On Kaehler submanifolds [ MR 0377786 ]
  • Robert Osserman — Isoperimetric and related inequalitites [ MR 0385686 ]
  • Tominosuke Ôtsuki — Minimal submanifolds with $m$-index $2$ [ MR 0390975 ]
  • William F. Pohl — A problem of Ordnungsgeometrie [ MR 0383326 ]
  • Robert C. Reilly — On the Hessian of a function and the curvatures of its graph
  • Donald H. Singley — Pairs of metrics on parallel hypersurfaces and ovaloids [ MR 0390979 ]
  • Michael Spivak — Some left-over problems from classical differential geometry [ MR 0420516 ]
  • Kentaro Yano — Manifolds and submanifolds with vanishing Weyl or Bochner curvature tensor
  • Foliations
  • B. Cenkl — On the de Rham complex of $B\widehat {\Gamma }$ [ MR 0385884 ]
  • Lawrence Conlon — Locally free Lie transformation groups of codimension two [ MR 0375344 ]
  • K. deCesare and T. Nagano — On compact foliations [ MR 0377924 ]
  • Franz W. Kamber and Philippe Tondeur — Semisimplicial Weil algebras and characteristic classes for foliated bundles in Čech cohomology [ MR 0385886 ]
  • Ulrich Koschorke — Line fields transversal to foliations [ MR 0383429 ]
  • Joel Pasternack — Classifying spaces for Riemannian foliations [ MR 0377929 ]
  • Paul A. Schweitzer, S. J. — Codimension one plane fields and foliations
  • Herbert Shulman — The double complex of $\Gamma _k$ [ MR 0375308 ]
  • William P. Thurston — A local construction of foliations for three-manifolds [ MR 0380828 ]
  • William P. Thurston — The theory of foliations of codimension greater than one [ MR 0375345 ]
  • H. E. Winkelnkemper — Locally free actions and Stiefel-Whitney numbers [ MR 0375353 ]
  • Algebraic and piecewise linear topology
  • Thomas F. Banchoff — Stiefel-Whitney homology classes and singularities of projections for polyhedral manifolds [ MR 0377921 ]
  • John D. Blanton and Paul A. Schweitzer, S. J. — Axioms for characteristic classes of manifolds [ MR 0375339 ]
  • Raoul Bott — On the Gelfand-Fuks cohomology [ MR 0380820 ]
  • John S. Maffei — On $H^* (\bar {G}_{s,q};R/Z)$, range group of some Chern-Simons invariants [ MR 0377904 ]
  • Clint McCrory — Euler singularities and homology operations [ MR 0377920 ]
  • John Milnor — Isolated critical points of complex functions [ MR 0375351 ]
  • Howard Osborn — The Chern-Weil construction [ MR 0385882 ]
  • Richard Porter — Characteristic classes and singularities of mappings [ MR 0436172 ]
  • Miscellaneous
  • Richard H. Escobales, Jr. — Riemannian submersions from spheres
  • Leon Green — Some open problems in differential geometry [ MR 0377707 ]
  • Nathaniel Grossman — Some geometrical aspects of geodesy
  • W. Klingenberg — The index theorem for closed geodesics
  • Nicolaas H. Kuiper — The topology of the solutions of a linear homogeneous differential equation on $R^n$
  • Jean E. Taylor — Unique structure of solutions to a class of nonelliptic variational problems [ MR 0388225 ]
  • James H. White — Twist invariants and the Pontryagin numbers of immersed manifolds [ MR 0405455 ]
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Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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