Rigid Embeddings of Sasakian Hyperquadrics in Cn+1

Vladimir Ezhov; Martin Kolar; Gerd Schmalz

doi:10.1007/s12220-017-9900-6

Rigid Embeddings of Sasakian Hyperquadrics in Cn+1

Vladimir Ezhov, Martin Kolar, Gerd Schmalz

Mathematics

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

Abstract

We give a classification of Sasakian manifolds that are CR-equivalent to hyperquadrics by describing their exact parameter space. For "half" of the parameter space, we find an explicit representation by defining equations. This problem is related to the problem of finding pseudo-Kähler potentials with prescribed Ricci curvature.

Original language	English
Pages (from-to)	2185-2205
Journal	Journal of Geometric Analysis
Volume	28
Issue number	3
DOIs	https://doi.org/10.1007/s12220-017-9900-6
Publication status	Published - 2018

Keywords

Real and Complex Functions (incl. Several Variables)
Partial Differential Equations
Algebraic and Differential Geometry

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10.1007/s12220-017-9900-6

https://hdl.handle.net/1959.11/23568

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title = "Rigid Embeddings of Sasakian Hyperquadrics in Cn+1",

abstract = "We give a classification of Sasakian manifolds that are CR-equivalent to hyperquadrics by describing their exact parameter space. For {"}half{"} of the parameter space, we find an explicit representation by defining equations. This problem is related to the problem of finding pseudo-K{\"a}hler potentials with prescribed Ricci curvature.",

keywords = "Real and Complex Functions (incl. Several Variables), Partial Differential Equations, Algebraic and Differential Geometry",

author = "Vladimir Ezhov and Martin Kolar and Gerd Schmalz",

year = "2018",

doi = "10.1007/s12220-017-9900-6",

language = "English",

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T1 - Rigid Embeddings of Sasakian Hyperquadrics in Cn+1

AU - Ezhov, Vladimir

AU - Kolar, Martin

AU - Schmalz, Gerd

PY - 2018

Y1 - 2018

N2 - We give a classification of Sasakian manifolds that are CR-equivalent to hyperquadrics by describing their exact parameter space. For "half" of the parameter space, we find an explicit representation by defining equations. This problem is related to the problem of finding pseudo-Kähler potentials with prescribed Ricci curvature.

AB - We give a classification of Sasakian manifolds that are CR-equivalent to hyperquadrics by describing their exact parameter space. For "half" of the parameter space, we find an explicit representation by defining equations. This problem is related to the problem of finding pseudo-Kähler potentials with prescribed Ricci curvature.

KW - Real and Complex Functions (incl. Several Variables)

KW - Partial Differential Equations

KW - Algebraic and Differential Geometry

UR - https://www.scopus.com/pages/publications/85025637838

U2 - 10.1007/s12220-017-9900-6

DO - 10.1007/s12220-017-9900-6

M3 - Article

SN - 1050-6926

VL - 28

SP - 2185

EP - 2205

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 3

ER -

Rigid Embeddings of Sasakian Hyperquadrics in Cn+1

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