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Differential geometry : proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, held at Stanford University, Stanford, California, July 30-August 17, 1973 / edited by S.S. Chern and R. Osserman.
- Format:
- Book
- Conference/Event
- Author/Creator:
- Symposium in Pure Mathematics, Corporate Author.
- Conference Name:
- Symposium in Pure Mathematics (1973 : Stanford University), issuing body.
- Series:
- Proceedings of symposia in pure mathematics ; volume 27, part 2.
- Proceedings of symposia in pure mathematics ; volume 27, part 2
- Language:
- English
- Subjects (All):
- Geometry, Differential--Congresses.
- Geometry, Differential.
- Physical Description:
- 1 online resource (455 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical, 1975.
- Language Note:
- English
- Summary:
- Contains sections on Complex differential geometry, Partial differential equations, Homogeneous spaces, and Relativity.
- Contents:
- ""Contents""; ""Preface""; ""Complex Differential Geometry""; ""Riemann-Roch theorem for singular varieties""; ""A construction of nonhomogeneous Einstein metrics""; ""Generalizations of the Schwarz-Ahlfors lemma to quasiconformal harmonic mappings""; ""Holomorphic mappings to Grassmannians of lines""; ""Some function-theoretic properties of noncompact Kahler manifolds""; ""Differential geometry and complex analysis*""; ""On the curvature of rational surfaces""; ""Holomorphic extension for nongeneric CR-submanifolds""; ""Holomorphic extension theorems""; ""Residues and Chern classes""
- ""Some classical theorems for holomorphic mappings into hyperbolic manifolds""""Some results in f-structures motivated by the Cousin problem""; ""Holomorphic equivalence and normal forms of hypersurfaces""; ""On compact Kahler manifolds with positive holomorphic bisectional curvature""; ""Partial Differential Equations""; ""On the size of a stable minimal surface in R[sup(3)]""; ""Geometry of the spectrum. I*""; ""Constant scalar curvature metrics for complex manifolds""; ""Sobolev inequalities for Riemannian bundles""; ""Eigenfunctions and eigenvalues of Laplacian""
- ""Minakshisundaram's coefficients on Kaehler manifolds""""The spectrum of positive elliptic operators and periodic geodesies""; ""Random walk on the fundamental group""; ""Linearization stability of nonlinear partial differential equations""; ""The spectral geometry of real and complex manifolds""; ""Spectral geometry and manifolds of constant holomorphic sectional curvature""; ""Whitney's imbedding theorem by solutions of elliptic equations and geometric consequences""; ""Fourier integral operators from the Radon transform point of view""; ""A hierarchy of nonsolvability examples""
- ""Extending isometric embeddings""""Prescribing curvatures""; ""On symplectic relations in partial differential equations""; ""On periods of solutions of a certain nonlinear differential equation and the Riemannian manifold 0\""; ""Singularities and the obstacle problem""; ""Harmonic mappings of sphere""; ""Holomorphic R-torsion for Lie groups""; ""Homogeneous Spaces""; ""The first eigenvalue of the Laplacian on manifolds of nonnegative curvature""; ""The generalized geodesic flow""
- ""The eigenfunctions of the Laplacian on a two-point homogeneous space: integral representations and irreducibility""""The cohomology ring of SO(2n + 2)/SO(2) x SO(2n) and some geometrical applications""; ""Representations of linear functional on HP spaces over bounded homogeneous domains in CN (N > 1)""; ""Noncompact riemannian manifolds admitting a transitive group of conformorphisms""; ""Critical sets of isometries""; ""Partial spin structures and induced representations of Lie groups""; ""Relativity""; ""Einstein-Maxwell theory and the structure equations""
- ""Lorentzian manifolds of nonpositive curvature""
- Notes:
- Prepared by the American Mathematical Society with the partial support of National Science Foundation Grant GP-37243.
- Includes bibliographical references and index.
- Description based on online resource; title from PDF title page (ebrary, viewed May 19, 2014).
- ISBN:
- 0-8218-9314-9
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