April 18, 2024Open Access

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

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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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Peng et al. (Thu,) studied this question.

synapsesocial.com/papers/68e6e9b3b6db643587665558 https://doi.org/https://doi.org/10.48550/arxiv.2404.11908

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