Topology of Manifolds with Asymptotically Nonnegative Ricci Curvature

Bazanfare Mahaman

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arXiv · 0809.4558

Topology of Manifolds with Asymptotically Nonnegative Ricci Curvature

Bazanfare Mahaman

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Abstract

In this paper, we study the topology of complete noncompact Riemannian manifolds with asymptotically nonnegative Ricci curvature. We show that a complete noncompact manifold with asymptoticaly nonnegative Ricci curvature and sectional curvature decay at most quadratically is diffeomorphic to a Euclidean n-space R^n under some conditions on the density of rays starting from the base point p or on the volume growth of geodesic balls in M.

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BibTeX RIS

Bazanfare Mahaman. 2008-09-26. Topology of Manifolds with Asymptotically Nonnegative Ricci Curvature. https://arxiv.org/abs/0809.4558

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