Generalized scalar curvature type equations on compact Riemannian manifolds

Olivier Druet

doi:10.1017/s0308210500000408

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Generalized scalar curvature type equations on compact Riemannian manifolds

Olivier Druet

Year: 2000 Journal: Proceedings of the Royal Society of Edinburgh Section A Mathematics Vol: 130 (4)Pages: 767-788 Publisher: Cambridge University Press

DOI: 10.1017/s0308210500000408

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Abstract

The paper is concerned with nonlinear equations of critical Sobolev growth involving the p -Laplace operator. These equations generalize the more classical scalar curvature equation.

Keywords:

Scalar curvature Prescribed scalar curvature problem Ricci-flat manifold Curvature of Riemannian manifolds Sectional curvature Curvature Mathematics Mathematical analysis Riemann curvature tensor Type (biology) Scalar (mathematics) Pure mathematics Mathematical physics Geometry Geology

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Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Nonlinear Partial Differential Equations

Physical Sciences → Mathematics → Applied Mathematics

advanced mathematical theories

Physical Sciences → Mathematics → Mathematical Physics

Generalized scalar curvature type equations on compact Riemannian manifolds

Abstract

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