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null Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Löwen, Rainer / Ono, Kaoru / Pasini, Antonio / Penttila, Tim / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Sommese, Andrew J. / Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard / Rosehr, Nils / Bannai, Eiichi
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1Kumamoto Gakuen University, Fuzoku High School, Oe 2-5-1, Kumamoto 862-0971, Japan
2Faculty of Education, Kumamoto University, Kumamoto 860-8555, Japan
3Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, Bucharest 014700, Romania
Citation Information: Advances in Geometry. Volume 11, Issue 4, Pages 571–584, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: 10.1515/advgeom.2011.033, August 2011
Publication History:
We prove a quadrilateral comparison result for convex surfaces, involving projections onto quasigeodesics. As an application, we locate the set of all farthest points (i.e., points at maximal intrinsic distance from some point) in a convex surface, with respect to a simple closed quasigeodesic.
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