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Prescribing the curvature of a Riemannian manifold

Author: Jerry L Kazdan; Conference Board of the Mathematical Sciences.
Publisher: Providence, R.I. : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, ©1985.
Series: Regional conference series in mathematics, no. 57.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Suitable for mathematicians who knew either some differential geometry or partial differential equations, this book lets you compute the sectional, Ricci, and scalar curvatures.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jerry L Kazdan; Conference Board of the Mathematical Sciences.
ISBN: 0821807072 9780821807071
OCLC Number: 11531761
Notes: "Expository lectures from the CBMS regional conference held at the Polytechnic Institute of New York, January 6-10, 1984."
Description: vii, 55 pages ; 26 cm.
Contents: I. Gaussian Curvature Surfaces in $R^3$ Prescribing the curvature form on a surface Prescribing the Gaussian curvature on a surface; (a) Compact surfaces; (b) Noncompact surfaces; II. Scalar Curvature Topological obstructions Pointwise conformal deformations and the Yamabe problem; (a) $M^n$ compact; (b) $M^n$ noncompact Prescribing scalar curvature Cauchy-Riemann manifold; III. Ricci Curvature Local solvability of Ric$(g)=R_ij$ Local smoothness of metrics Global topological obstructions Uniqueness, nonexistence Einstein metrics on 3-manifolds Kaahler manifolds; (a) Kahler geometry; (b) Calabi's problem and Kahler-Einstein metrics; (c) Another variational problem; IV. Boundary Value Problems Surfaces with constant mean curvature; (a) Rellich's problem Some other boundary value problems; (a) Graphs with prescribed mean curvature; (b) Graphs with prescribed Gauss curvature The $C^2+\alpha$ estimate at the boundary Some Open Problems.
Series Title: Regional conference series in mathematics, no. 57.
Responsibility: by Jerry L. Kazdan.

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