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The conformal Gauss map of submanifolds of the Möbius space
Authors:Marco Rigoli
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
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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