Quaternionic contact hypersurfaces in hyper-Kähler manifolds

J 2017

Quaternionic contact hypersurfaces in hyper-Kähler manifolds

IVANOV, Stefan, Ivan MINCHEV a Dimiter VASSILEV

Základní údaje

Originální název

Quaternionic contact hypersurfaces in hyper-Kähler manifolds

Autoři

IVANOV, Stefan (100 Bulharsko), Ivan MINCHEV (100 Bulharsko, garant, domácí) a Dimiter VASSILEV (100 Bulharsko)

Vydání

Annali di Matematica Pura ed Applicata, HEIDELBERG, SPRINGER HEIDELBERG, 2017, 0373-3114

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Německo

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 1.066

Kód RIV

RIV/00216224:14310/17:00095899

Organizační jednotka

Přírodovědecká fakulta

DOI

http://dx.doi.org/10.1007/s10231-016-0571-x

UT WoS

000393687100012

Klíčová slova anglicky

Quaternionic contact; Hypersurfaces; Hyper-Kahler; Quaternionic projective space; 3-Sasaki

Štítky

AKR, NZ, rivok

Změněno: 11. 4. 2018 10:48, Ing. Nicole Zrilić

Anotace

V originále

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.

Návaznosti

3SGA5953, interní kód MU

Název: Kvaternionově kontaktní Yamabeho problém (Akronym: The Quaternionic Contact Yamabe Problem)

Investor: Jihomoravský kraj, Kvaternionově kontaktní Yamabeho problém, Granty pro zahraniční vědce

Citovat

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.

@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.

Podrobný výpis o publikaci