| IVANOV, Stefan, Ivan MINCHEV and Dimiter VASSILEV. Quaternionic contact hypersurfaces in hyper-Kähler manifolds. Annali di Matematica Pura ed Applicata. HEIDELBERG: SPRINGER HEIDELBERG, 2017, vol. 196, No 1, p. 245-267. ISSN 0373-3114. Available from: https://dx.doi.org/10.1007/s10231-016-0571-x. |
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@article{1358690,
author = {Ivanov, Stefan and Minchev, Ivan and Vassilev, Dimiter},
article_location = {HEIDELBERG},
article_number = {1},
doi = {http://dx.doi.org/10.1007/s10231-016-0571-x},
keywords = {Quaternionic contact; Hypersurfaces; Hyper-Kahler; Quaternionic projective space; 3-Sasaki},
language = {eng},
issn = {0373-3114},
journal = {Annali di Matematica Pura ed Applicata},
title = {Quaternionic contact hypersurfaces in hyper-Kähler manifolds},
url = {http://link.springer.com/article/10.1007/s10231-016-0571-x/fulltext.html},
volume = {196},
year = {2017}
}
TY - JOUR
ID - 1358690
AU - Ivanov, Stefan - Minchev, Ivan - Vassilev, Dimiter
PY - 2017
TI - Quaternionic contact hypersurfaces in hyper-Kähler manifolds
JF - Annali di Matematica Pura ed Applicata
VL - 196
IS - 1
SP - 245-267
EP - 245-267
PB - SPRINGER HEIDELBERG
SN - 03733114
KW - Quaternionic contact
KW - Hypersurfaces
KW - Hyper-Kahler
KW - Quaternionic projective space
KW - 3-Sasaki
UR - http://link.springer.com/article/10.1007/s10231-016-0571-x/fulltext.html
L2 - http://link.springer.com/article/10.1007/s10231-016-0571-x/fulltext.html
N2 - 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.
ER -
IVANOV, Stefan, Ivan MINCHEV and Dimiter VASSILEV. Quaternionic contact hypersurfaces in hyper-Kähler manifolds. \textit{Annali di Matematica Pura ed Applicata}. HEIDELBERG: SPRINGER HEIDELBERG, 2017, vol.~196, No~1, p.~245-267. ISSN~0373-3114. Available from: https://dx.doi.org/10.1007/s10231-016-0571-x.
|
