Rigid Embeddings of Sasakian Hyperquadrics in Cn                         +                         1

Vladimir Ezhov; Martin Kolář; Gerd Schmalz

doi:10.1007/s12220-017-9900-6

Rigid Embeddings of Sasakian Hyperquadrics in Cⁿ ⁺ ¹

Vladimir Ezhov, Martin Kolář, Gerd Schmalz

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
Number of pages	21
Journal	Journal of Geometric Analysis
Volume	28
Issue number	3
DOIs	https://doi.org/10.1007/s12220-017-9900-6
Publication status	Published - Jul 2018

Keywords

Hyperquadrics
Kähler potential
Normal form
Ricci curvature
Sasakian manifolds

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10.1007/s12220-017-9900-6Licence: In Copyright

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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 = "Hyperquadrics, K{\"a}hler potential, Normal form, Ricci curvature, Sasakian manifolds",

author = "Vladimir Ezhov and Martin Kol{\'a}{\v r} and Gerd Schmalz",

year = "2018",

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AU - Kolář, Martin

AU - Schmalz, Gerd

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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 - Hyperquadrics

KW - Kähler potential

KW - Normal form

KW - Ricci curvature

KW - Sasakian manifolds

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UR - http://purl.org/au-research/grants/ARC/DP130103485

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ER -

Rigid Embeddings of Sasakian Hyperquadrics in Cⁿ ⁺ ¹

Abstract

Keywords

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