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A sharp isoperimetric inequality for rank one symmetric spaces

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Abstract.

 We prove an isoperimetric inequality for compact, regular domains in rank one symmetric spaces, which is sharp for geodesic balls. Besides volume and area of a given domain, some weak information about the second fundamental form of its boundary is involved.

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Authors and Affiliations

  1. Mathematisches Institut II, Universität Karlsruhe, Kaiserstr. 12, 76128 Karlsruhe, Germany. e-mail: thorsten.thies@math.uni-karlsruhe.de, , , , , , DE

    Thorsten Thies

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  1. Thorsten Thies
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Received: 2 September 2002 / Revised version: 10 December 2002 Published online: 20 March 2003

Mathematics Subject Classification (2000): 53C35, 52A40, 51M25

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Thies, T. A sharp isoperimetric inequality for rank one symmetric spaces. manuscripta math. 111, 97–104 (2003). https://doi.org/10.1007/s00229-003-0359-3

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  • DOI: https://doi.org/10.1007/s00229-003-0359-3

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