Kähler manifolds with almost nonnegative Ricci curvature

Peter Li; Mohan Ramachandran

doi:10.1353/ajm.1996.0016

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Kähler manifolds with almost nonnegative Ricci curvature

Peter Li Mohan Ramachandran

Year: 1996 Journal: American Journal of Mathematics Vol: 118 (2)Pages: 341-353 Publisher: Johns Hopkins University Press

DOI: 10.1353/ajm.1996.0016

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Abstract

In this paper, the authors prove that if a complete Kähler manifold with almost nonnegative Ricci curvature has at least three ends, then it must holomorphically factor through a parabolic Riemann surface.

Keywords:

Mathematics Ricci curvature Curvature Pure mathematics Manifold (fluid mechanics) Curvature of Riemannian manifolds Riemann curvature tensor Ricci flow Sectional curvature Scalar curvature Ricci-flat manifold Mathematical analysis Geometry

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Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Geometry and complex manifolds

Physical Sciences → Mathematics → Geometry and Topology

Advanced Differential Geometry Research

Physical Sciences → Physics and Astronomy → Astronomy and Astrophysics

Kähler manifolds with almost nonnegative Ricci curvature

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