CR submanifolds with vanishing second fundamental forms

Yuan Yuan; Yuan Zhang

doi:10.1007/s10711-016-0152-6

CR submanifolds with vanishing second fundamental forms

Yuan Yuan, Yuan Zhang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper, we show that all CR immersions from smooth Levi-nondegenerate hypersurfaces into hyperquadrics with vanishing CR second fundamental forms are necessarily linear fractional.

Original language	English (US)
Pages (from-to)	169-180
Number of pages	12
Journal	Geometriae Dedicata
Volume	183
Issue number	1
DOIs	https://doi.org/10.1007/s10711-016-0152-6
State	Published - Aug 1 2016

Keywords

CR immersion
CR second fundamental form
Levi-nondegenerate
Rigidity

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s10711-016-0152-6

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title = "CR submanifolds with vanishing second fundamental forms",

abstract = "In this paper, we show that all CR immersions from smooth Levi-nondegenerate hypersurfaces into hyperquadrics with vanishing CR second fundamental forms are necessarily linear fractional.",

keywords = "CR immersion, CR second fundamental form, Levi-nondegenerate, Rigidity",

author = "Yuan Yuan and Yuan Zhang",

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KW - Rigidity

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CR submanifolds with vanishing second fundamental forms

Abstract

Keywords

ASJC Scopus subject areas

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