Upper bounds on the first eigenvalue for a diffusion operator via Bakry–Émery Ricci curvature
نویسندگان
چکیده
منابع مشابه
Upper Bounds for the First Eigenvalue of the Dirac Operator on Surfaces. *
In this paper we will prove new extrinsic upper bounds for the eigenvalues of the Dirac operator on an isometrically immersed surface M2 →֒ R3 as well as intrinsic bounds for 2-dimensional compact manifolds of genus zero and genus one. Moreover, we compare the different estimates of the eigenvalue of the Dirac operator for special families of metrics. Subj. Class.: Differential geometry. 1991 MS...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2010
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2009.09.019