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arXiv · 2404.11908

Asymptotics of Spectral Functions of Lower Energy Forms on Weakly 1-Complete Manifolds

Xiquan Peng·Guokuan Shao·Wenxuan Wang
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Abstract

In this paper, we show that the optimal fundamental estimate holds true on a weakly $1$-complete manifold with mild conditions, then we establish the weak Morse inequalities for lower energy forms on the manifold. We also study the case for $q$-convex manifolds.

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Xiquan Peng, Guokuan Shao, Wenxuan Wang. 2024-04-18. Asymptotics of Spectral Functions of Lower Energy Forms on Weakly 1-Complete Manifolds. https://arxiv.org/abs/2404.11908

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