The conformal Gauss map of submanifolds of the Möbius space |
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Authors: | Marco Rigoli |
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Institution: | (1) Department of Mathematical Sciences, University of Durham, DH1 3LE Durham, Great Britain;(2) International Centre for Theoretical Physics, Strada Costiera 11, 34100 Trieste, Italy |
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Abstract: | In this paper we study the conformal geometry of immersed submanifolds of the Möbius spaceS
n introducing the conformal Gauss map. In particular we relate its harmonicity to an extended notion of Willmore surface which originated from the work of Bryant. For a more detailed account the reader is referred to the Introduction.(on leave) |
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