Quaternionic contact hypersurfaces in hyper-Kähler manifolds

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F17%3A00095899" target="_blank" >RIV/00216224:14310/17:00095899 - isvavai.cz</a>

Result on the web

<a href="http://link.springer.com/article/10.1007/s10231-016-0571-x/fulltext.html" target="_blank" >http://link.springer.com/article/10.1007/s10231-016-0571-x/fulltext.html</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10231-016-0571-x" target="_blank" >10.1007/s10231-016-0571-x</a>

Result language

angličtina

Original language name

Quaternionic contact hypersurfaces in hyper-Kähler manifolds

Original language description

We describe explicitly all quaternionic contact hypersurfaces (qc-hypersurfaces) in the flat quaternion space Hn+1 and the quaternion projective space. We show that up to a quaternionic affine transformation a qc-hypersurface in Hn+1 is contained in one of the three qc-hyperquadrics in Hn+1. Moreover, we show that an embedded qc-hypersurface in a hyper-Kähler manifold is qc-conformal to a qc-Einstein space and the Riemannian curvature tensor of the ambient hyper-Kähler metric is degenerate along the hypersurface.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Annali di Matematica Pura ed Applicata

ISSN

0373-3114

e-ISSN

1618-1891

Volume of the periodical

196

Issue of the periodical within the volume

1

Country of publishing house

DE - GERMANY

Number of pages

23

Pages from-to

245-267

UT code for WoS article

000393687100012

EID of the result in the Scopus database

2-s2.0-85010888065