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arXiv · 1505.07625

A note on a Sung-Wang's paper

Nguyen Thac Dung
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Abstract

The purpose of this note is to study the connectedness at infinity of manifold by using the theory of $p$-harmonic functions. We show that if the first eigenvalue $λ_{1,p}$ for the $p$-Laplacian achievies its maximal value on a Kähler manifold or a quaternionic Kähler manifold then such a manifold must be connected at infinity unless it is a topological cylinder with an explicit warped product metric.

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Nguyen Thac Dung. 2015-05-28. A note on a Sung-Wang's paper. https://arxiv.org/abs/1505.07625

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