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Differential Geometry, Part 1
Softcover ISBN:  9780821802472 
Product Code:  PSPUM/27.1 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893135 
Product Code:  PSPUM/27.1.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Softcover ISBN:  9780821802472 
eBook: ISBN:  9780821893135 
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 
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Differential Geometry, Part 1
Softcover ISBN:  9780821802472 
Product Code:  PSPUM/27.1 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893135 
Product Code:  PSPUM/27.1.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Softcover ISBN:  9780821802472 
eBook ISBN:  9780821893135 
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 

Book DetailsProceedings of Symposia in Pure MathematicsVolume: 27; 1975; 451 ppMSC: 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. BérardBergery, 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, ChernSimons invariants and the classical groups

Horacio HernándezAndrade — 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 ]

Bangyen 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 ChernLashof 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 leftover 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 threemanifolds [ MR 0380828 ]

William P. Thurston — The theory of foliations of codimension greater than one [ MR 0375345 ]

H. E. Winkelnkemper — Locally free actions and StiefelWhitney numbers [ MR 0375353 ]

Algebraic and piecewise linear topology

Thomas F. Banchoff — StiefelWhitney 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 GelfandFuks cohomology [ MR 0380820 ]

John S. Maffei — On $H^* (\bar {G}_{s,q};R/Z)$, range group of some ChernSimons 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 ChernWeil 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 ]


RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Requests
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. BérardBergery, 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, ChernSimons invariants and the classical groups

Horacio HernándezAndrade — 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 ]

Bangyen 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 ChernLashof 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 leftover 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 threemanifolds [ MR 0380828 ]

William P. Thurston — The theory of foliations of codimension greater than one [ MR 0375345 ]

H. E. Winkelnkemper — Locally free actions and StiefelWhitney numbers [ MR 0375353 ]

Algebraic and piecewise linear topology

Thomas F. Banchoff — StiefelWhitney 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 GelfandFuks cohomology [ MR 0380820 ]

John S. Maffei — On $H^* (\bar {G}_{s,q};R/Z)$, range group of some ChernSimons 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 ChernWeil 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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