On the Geometry of Symmetric R-Spaces

  • In this survey article we report on our recent work, partially in collaboration with Jost-Hinrich Eschenburg, on geometric properties of symmetric R-spaces and their submanifolds. This paper also contains a new result on the convexity of certain reflective submanifolds in simply connected irreducible compact symmetric spaces of Dynkin type a.

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Author:Peter QuastGND, Makiko Sumi Tanaka
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/2913
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Augsburg (2014-09)
Publishing Institution:Universität Augsburg
Release Date:2014/12/02
Tag:symmetric R-spaces; extrinsic symmetry; submanifolds; unit lattice; convexity
GND-Keyword:Riemannsche Geometrie; Symmetrischer Raum; Untermannigfaltigkeit; Konvexität
This article will appear in RIMS Kokyuroku in the proceedings of the Workshop "Development of group actions and submanifold theory" (June 2014) at RIMS, Kyoto University.
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Differentialgeometrie
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):Deutsches Urheberrecht