Nonlinear Problems in Geometry.

Intro -- Contents -- Preface -- Non-existence of Riemannian metrics with prescribed Ricci tensor -- On symmetrization -- Critical associated metrics on symplectic manifolds -- Complete metrics of negative scalar curvature on noncompact manifolds -- Local existence of smooth metrics with prescribed curvature -- Visibility of the Martin boundary for quasiconformal metrics on D1 -- On an area-preserving evolution equation for plane curves -- The Laplace spectra versus the length spectra of Riemannian manifolds -- The decomposition and superposition of rank-one gravitational potential tensors -- Negative curvature and conformal deformations of complete manifolds -- Spectral rigidity for manifolds with negative curvature operator -- Three problems in nonlinear differential geometry -- Self-dual Einstein metrics -- Exterior differential systems and the problem of characterizing Gauss maps.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.