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摘要
In this paper, we study complete manifolds equipped with smooth measures whose spectrum of the weighted Laplacian has an optimal positive lower bound and the m-dimensional Bakry-A parts per thousand mery Ricci curvature is bounded from below by some negative constant. In particular, we prove a splitting type theorem for complete smooth measure manifolds that have a finite-weighted volume end. This result is regarded as a study of the equality case of an author's theorem (Wu, J Math Anal Appl 361:10-18, 2010).
- 出版日期2013-3
- 单位上海海事大学
