Two rigidity theorems on manifolds with Bakry-Emery Ricci curvature
نویسندگان
چکیده
منابع مشابه
Eigenvalue Comparison on Bakry-emery Manifolds
It is called shrinking, steady, or expanding soliton if a > 0, a = 0 or a < 0 respectively. More generally (M, g, f) is called a Bakry-Emery manifold if the so-called Bakry-Emery Ricci tensor Rcij + fij ≥ agij for some a ∈ R. In this paper we apply the modulus of continuity estimates developed in [AC,AC2,AC3] to give a different proof of an eigenvalue comparison estimate on Bakry-Emery manifold...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 2009
ISSN: 0386-2194
DOI: 10.3792/pjaa.85.71