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Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Editorial Board: Bamberg, John / Bannai, Eiichi / Cavalieri, Renzo / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Ratcliffe, John G. / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard

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A maximum principle for circle-valued temperatures

Andrew A. Cooper
Published Online: 2019-09-11 | DOI: https://doi.org/10.1515/advgeom-2019-0032


In this note we prove a ‘maximum principle’ for circle-valued solutions of the (time-dependent) heat equation on closed Riemannian manifolds.

Keywords: Riemannian manifold; heat equation; maximum principle; oscillation

MSC 2010: 58C06; 58J35; 35B50


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About the article

Received: 2018-09-15

Revised: 2019-04-01

Published Online: 2019-09-11

Communicated by: S. Weintraub

Citation Information: Advances in Geometry, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/advgeom-2019-0032.

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