A geometric flow on noncompact affine Riemannian manifolds

Heming Jiao; Hanzhang Yin

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arXiv · 2401.13261

A geometric flow on noncompact affine Riemannian manifolds

Heming Jiao·Hanzhang Yin

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Abstract

In this paper, we obtain the existence criteria for a geometic flow on noncompact affine Riemannian manifolds. Our results can be regarded as a real version of Lee-Tam [19]. As an application, we prove that a complete noncompact Hessian manifold with nonnegative Hessian sectional curvature and bounded geometry is diffeomorphic to $\mathbb{R}^n$ if its tangent bundle has maximal volume growth.

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BibTeX RIS

Heming Jiao, Hanzhang Yin. 2024-01-24. A geometric flow on noncompact affine Riemannian manifolds. https://arxiv.org/abs/2401.13261

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