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Differential Geometry, Part 2
 
S. S. Chern
R. Osserman
Differential Geometry, Part 2
Softcover ISBN:  978-0-8218-0248-9
Product Code:  PSPUM/27.2
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9314-2
Product Code:  PSPUM/27.2.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Softcover ISBN:  978-0-8218-0248-9
eBook: ISBN:  978-0-8218-9314-2
Product Code:  PSPUM/27.2.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 2
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Differential Geometry, Part 2
S. S. Chern
R. Osserman
Softcover ISBN:  978-0-8218-0248-9
Product Code:  PSPUM/27.2
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9314-2
Product Code:  PSPUM/27.2.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Softcover ISBN:  978-0-8218-0248-9
eBook ISBN:  978-0-8218-9314-2
Product Code:  PSPUM/27.2.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; 443 pp
    MSC: Primary 55

    Contains sections on Complex differential geometry, Partial differential equations, Homogeneous spaces, Relativity)
    This item is also available as part of a set:
  • Table of Contents
     
     
    • Complex differential geometry
    • Paul Baum — Riemann-Roch theorem for singular varieties [ MR 0389907 ]
    • E. Calabi — A construction of nonhomogeneous Einstein metrics [ MR 0379912 ]
    • S. I. Goldberg and T. Ishihara — Generalizations of the Schwarz-Ahlfors lemma to quasiconformal harmonic mappings
    • Mark L. Green — Holomorphic mappings to Grassmannians of lines [ MR 0385176 ]
    • R. E. Greene and H. Wu — Some function-theoretic properties of noncompact Kähler manifolds [ MR 0379898 ]
    • Phillip A. Griffiths — Differential geometry and complex analysis [ MR 0399521 ]
    • Nigel Hitchin — On the curvature of rational surfaces [ MR 0400127 ]
    • L. R. Hunt and R. O. Wells, Jr. — Holomorphic extension for nongeneric CR-submanifolds [ MR 0385167 ]
    • Peter Kiernan — Holomorphic extension theorem
    • James R. King — Residues and Chern classes [ MR 0396996 ]
    • Myung H. Kwack — Some classical theorems for holomorphic mappings into hyperbolic manifolds [ MR 0486657 ]
    • Richard S. Millman — Some results in $f$-structures motivated by the Cousin problem [ MR 0380663 ]
    • Jürgen Moser — Holomorphic equivalence and normal forms of hypersurfaces [ MR 0435439 ]
    • Takushiro Ochiai — On compact Kähler manifolds with positive holomorphic bisectional curvature [ MR 0380691 ]
    • Partial differential equations
    • J. L. Barbosa and M. do Carmo — On the size of a stable minimal surface in $R^3$
    • M. Berger — Geometry of the spectrum. I [ MR 0383459 ]
    • Melvyn S. Berger — Constant scalar curvature metrics for complex manifolds [ MR 0410612 ]
    • M. Cantor — Sobolev inequalities for Riemannian bundles [ MR 0380873 ]
    • Shiu Yuen Cheng — Eigenfunctions and eigenvalues of Laplacian [ MR 0378003 ]
    • Harold Donnelly — Minakshisundaram’s coefficients on Kaehler manifolds
    • J. J. Duistermaat and V. W. Guillemin — The spectrum of positive elliptic operators and periodic geodesics [ MR 0423438 ]
    • James Eells — Random walk on the fundamental group [ MR 0377789 ]
    • Arthur E. Fischer and Jerrold E. Marsden — Linearization stability of nonlinear partial differential equations [ MR 0383456 ]
    • Peter B. Gilkey — The spectral geometry of real and complex manifolds [ MR 0388466 ]
    • Peter B. Gilkey and Jonathan Sacks — Spectral geometry and manifolds of constant holomorphic sectional curvature [ MR 0380902 ]
    • R. E. Greene and H. Wu — Whitney’s imbedding theorem by solutions of elliptic equations and geometric consequences [ MR 0407908 ]
    • V. Guillemin and D. Schaeffer — Fourier integral operators from the Radon transform point of view [ MR 0380520 ]
    • C. Denson Hill — A hierarchy of nonsolvability examples [ MR 0425376 ]
    • H. Jacobowitz — Extending isometric embeddings
    • Jerry L. Kazdan and F. W. Warner — Prescribing curvatures [ MR 0394505 ]
    • Bohdan Lawruk — On symplectic relations in partial differential equations [ MR 0377984 ]
    • Tominosuke Otsuki — On periods of solutions of a certain nonlinear differential equation and the Riemannian manifold $O^2_n$
    • David G. Schaeffer — Singularities and the obstacle problem [ MR 0470473 ]
    • R. T. Smith — Harmonic mappings of sphere
    • Nancy K. Stanton — Holomorphic $R$-torsion for Lie groups
    • Homogeneous spaces
    • I. Chavel and E. Feldman — The first eigenvalue of the Laplacian on manifolds of nonnegative curvature
    • Leon W. Green — The generalized geodesic flow
    • Sigurdur Helgason — The eigenfunctions of the Laplacian on a two-point homogeneous space: integral representations and irreducibility [ MR 0376961 ]
    • Hon-Fei Lai — The cohomology ring of $\mathit {SO}(2n + 2)/\mathit {SO}(2) \times \mathit {SO}(2n)$ and some geometrical applications
    • Josephine Mitchell — Representations of linear functionals on $H^p$ spaces over bounded homogeneous domains in $C^N$ $(N > 1)$ [ MR 0379913 ]
    • Morio Obata — Noncompact Riemannian manifolds admitting a transitive group of conformorphisms
    • V. Ozols — Critical sets of isometries [ MR 0383306 ]
    • Joseph A. Wolf — Partial spin structures and induced representations of Lie groups [ MR 0492082 ]
    • Relativity
    • George Debney — Einstein-Maxwell theory and the structure equations [ MR 0384045 ]
    • F. J. Flaherty — Lorentzian manifolds of nonpositive curvature [ MR 0643822 ]
    • Robert Geroch — General relativity [ MR 0378703 ]
    • A. H. Taub — Gravitational waves and averaged Lagrangians [ MR 0384040 ]
    • John A. Thorpe — Gravitational collapse [ MR 0381631 ]
  • 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; 443 pp
MSC: Primary 55

Contains sections on Complex differential geometry, Partial differential equations, Homogeneous spaces, Relativity)
This item is also available as part of a set:
  • Complex differential geometry
  • Paul Baum — Riemann-Roch theorem for singular varieties [ MR 0389907 ]
  • E. Calabi — A construction of nonhomogeneous Einstein metrics [ MR 0379912 ]
  • S. I. Goldberg and T. Ishihara — Generalizations of the Schwarz-Ahlfors lemma to quasiconformal harmonic mappings
  • Mark L. Green — Holomorphic mappings to Grassmannians of lines [ MR 0385176 ]
  • R. E. Greene and H. Wu — Some function-theoretic properties of noncompact Kähler manifolds [ MR 0379898 ]
  • Phillip A. Griffiths — Differential geometry and complex analysis [ MR 0399521 ]
  • Nigel Hitchin — On the curvature of rational surfaces [ MR 0400127 ]
  • L. R. Hunt and R. O. Wells, Jr. — Holomorphic extension for nongeneric CR-submanifolds [ MR 0385167 ]
  • Peter Kiernan — Holomorphic extension theorem
  • James R. King — Residues and Chern classes [ MR 0396996 ]
  • Myung H. Kwack — Some classical theorems for holomorphic mappings into hyperbolic manifolds [ MR 0486657 ]
  • Richard S. Millman — Some results in $f$-structures motivated by the Cousin problem [ MR 0380663 ]
  • Jürgen Moser — Holomorphic equivalence and normal forms of hypersurfaces [ MR 0435439 ]
  • Takushiro Ochiai — On compact Kähler manifolds with positive holomorphic bisectional curvature [ MR 0380691 ]
  • Partial differential equations
  • J. L. Barbosa and M. do Carmo — On the size of a stable minimal surface in $R^3$
  • M. Berger — Geometry of the spectrum. I [ MR 0383459 ]
  • Melvyn S. Berger — Constant scalar curvature metrics for complex manifolds [ MR 0410612 ]
  • M. Cantor — Sobolev inequalities for Riemannian bundles [ MR 0380873 ]
  • Shiu Yuen Cheng — Eigenfunctions and eigenvalues of Laplacian [ MR 0378003 ]
  • Harold Donnelly — Minakshisundaram’s coefficients on Kaehler manifolds
  • J. J. Duistermaat and V. W. Guillemin — The spectrum of positive elliptic operators and periodic geodesics [ MR 0423438 ]
  • James Eells — Random walk on the fundamental group [ MR 0377789 ]
  • Arthur E. Fischer and Jerrold E. Marsden — Linearization stability of nonlinear partial differential equations [ MR 0383456 ]
  • Peter B. Gilkey — The spectral geometry of real and complex manifolds [ MR 0388466 ]
  • Peter B. Gilkey and Jonathan Sacks — Spectral geometry and manifolds of constant holomorphic sectional curvature [ MR 0380902 ]
  • R. E. Greene and H. Wu — Whitney’s imbedding theorem by solutions of elliptic equations and geometric consequences [ MR 0407908 ]
  • V. Guillemin and D. Schaeffer — Fourier integral operators from the Radon transform point of view [ MR 0380520 ]
  • C. Denson Hill — A hierarchy of nonsolvability examples [ MR 0425376 ]
  • H. Jacobowitz — Extending isometric embeddings
  • Jerry L. Kazdan and F. W. Warner — Prescribing curvatures [ MR 0394505 ]
  • Bohdan Lawruk — On symplectic relations in partial differential equations [ MR 0377984 ]
  • Tominosuke Otsuki — On periods of solutions of a certain nonlinear differential equation and the Riemannian manifold $O^2_n$
  • David G. Schaeffer — Singularities and the obstacle problem [ MR 0470473 ]
  • R. T. Smith — Harmonic mappings of sphere
  • Nancy K. Stanton — Holomorphic $R$-torsion for Lie groups
  • Homogeneous spaces
  • I. Chavel and E. Feldman — The first eigenvalue of the Laplacian on manifolds of nonnegative curvature
  • Leon W. Green — The generalized geodesic flow
  • Sigurdur Helgason — The eigenfunctions of the Laplacian on a two-point homogeneous space: integral representations and irreducibility [ MR 0376961 ]
  • Hon-Fei Lai — The cohomology ring of $\mathit {SO}(2n + 2)/\mathit {SO}(2) \times \mathit {SO}(2n)$ and some geometrical applications
  • Josephine Mitchell — Representations of linear functionals on $H^p$ spaces over bounded homogeneous domains in $C^N$ $(N > 1)$ [ MR 0379913 ]
  • Morio Obata — Noncompact Riemannian manifolds admitting a transitive group of conformorphisms
  • V. Ozols — Critical sets of isometries [ MR 0383306 ]
  • Joseph A. Wolf — Partial spin structures and induced representations of Lie groups [ MR 0492082 ]
  • Relativity
  • George Debney — Einstein-Maxwell theory and the structure equations [ MR 0384045 ]
  • F. J. Flaherty — Lorentzian manifolds of nonpositive curvature [ MR 0643822 ]
  • Robert Geroch — General relativity [ MR 0378703 ]
  • A. H. Taub — Gravitational waves and averaged Lagrangians [ MR 0384040 ]
  • John A. Thorpe — Gravitational collapse [ MR 0381631 ]
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
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