IVANOV, Stefan, Ivan MINCHEV a Dimiter VASSILEV. Quaternionic contact hypersurfaces in hyper-Kähler manifolds. Annali di Matematica Pura ed Applicata. HEIDELBERG: SPRINGER HEIDELBERG, 2017, roč. 196, č. 1, s. 245-267. ISSN 0373-3114. Dostupné z: https://dx.doi.org/10.1007/s10231-016-0571-x. |
Další formáty:
BibTeX
LaTeX
RIS
@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 a Dimiter VASSILEV. Quaternionic contact hypersurfaces in hyper-Kähler manifolds. \textit{Annali di Matematica Pura ed Applicata}. HEIDELBERG: SPRINGER HEIDELBERG, 2017, roč.~196, č.~1, s.~245-267. ISSN~0373-3114. Dostupné z: https://dx.doi.org/10.1007/s10231-016-0571-x.
|