L2-estimates on p-convex Riemannian manifolds

Qingchun Ji; Xusheng Liu; Guangsheng Yu

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arXiv · 1305.3370

L2-estimates on p-convex Riemannian manifolds

Qingchun Ji·Xusheng Liu·Guangsheng Yu

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Abstract

In this paper, we establish various L2-estimates for the exterior differential operator on p-convex Riemannian manifolds in the sense of Harvey and Lawson. As geometric applications, we prove vanishing and finiteness results for the de Rham cohomology groups.

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BibTeX RIS

Qingchun Ji, Xusheng Liu, Guangsheng Yu. 2013-05-15. L2-estimates on p-convex Riemannian manifolds. https://arxiv.org/abs/1305.3370

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