caa a22 4500 46324835X CHVBK 20180405153332.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s10455-006-9038-4 doi (NATIONALLICENCE)springer-10.1007/s10455-006-9038-4 Geometric Heat Comparison Criteria for Riemannian Manifolds [Elektronische Daten] [Leon Karp, Norbert Peyerimhoff] The main results of this paper are small-time heat comparison results for two points in two manifolds with characteristic functions as initial temperature distributions (Theorems 1 and 2). These results are based on the geometric concepts of (essential) distance from the complement and spherical area function. We also discuss some other geometric results about the heat development and illustrate them by examples. Springer Science + Business Media B.V., 2006 Heat equation nationallicence Riemannian manifolds nationallicence Geometric comparison results nationallicence Karp Leon Department of Mathematics, CUNY Graduate Center and Lehman College, 365 Fifth Avenue, 10016, New York, NY, USA aut Peyerimhoff Norbert Department of Mathematical Sciences, Durham University, South Road, DH1 3LE, Durham, United Kingdom aut Annals of Global Analysis and Geometry Kluwer Academic Publishers 31/2(2007-04-01), 115-145 0232-704X 31:2<115 2007 31 10455 https://doi.org/10.1007/s10455-006-9038-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10455-006-9038-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Karp Leon Department of Mathematics, CUNY Graduate Center and Lehman College, 365 Fifth Avenue, 10016, New York, NY, USA aut NATIONALLICENCE 700 1- Peyerimhoff Norbert Department of Mathematical Sciences, Durham University, South Road, DH1 3LE, Durham, United Kingdom aut NATIONALLICENCE 773 0- Annals of Global Analysis and Geometry Kluwer Academic Publishers 31/2(2007-04-01), 115-145 0232-704X 31:2<115 2007 31 10455 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer