On washing emery for optical purposes, &c.

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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 the Franklin Institute

سال: 1827

ISSN: 0016-0032

DOI: 10.1016/s0016-0032(27)90964-8