Comparison geometry for the Bakry-Emery Ricci tensor
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: Journal of Differential Geometry
سال: 2009
ISSN: 0022-040X
DOI: 10.4310/jdg/1261495336