Mathematics > Complex Variables
[Submitted on 18 Apr 2024
(v1)
, last revised 4 Jul 2024 (this version, v2)]
Title: Asymptotics of Spectral Functions of Lower Energy Forms on Weakly 1-Complete Manifolds
Title: 弱1-完备流形上低能形式的谱函数渐进行为
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.
Submission history
From: Wenxuan Wang [view email][v1] Thu, 18 Apr 2024 05:17:23 UTC (13 KB)
[v2] Thu, 4 Jul 2024 09:08:18 UTC (14 KB)
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