Invariant connections and Nabla-Einstein structures on isotropy
irreducible spaces

J 2019

Invariant connections and Nabla-Einstein structures on isotropy irreducible spaces

CHRYSIKOS, Ioannis; Christian GUSTAD a Henrik WINTHER

Základní údaje

Originální název

Invariant connections and Nabla-Einstein structures on isotropy irreducible spaces

Autoři

CHRYSIKOS, Ioannis; Christian GUSTAD a Henrik WINTHER

Vydání

Journal of Geometry and Physics, Amsterdam, Elsevier Science BV, 2019, 0393-0440

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Nizozemské království

Utajení

není předmětem státního či obchodního tajemství

Odkazy

Full Text

Impakt faktor

Impact factor: 1.056

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/19:00108933

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

Homogeneous space; Connection; Symmetric space; Irreducible; Isotropy

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 3. 4. 2020 17:56, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

This paper is devoted to a systematic study and classification of invariant affine or metric connections on certain classes of naturally reductive spaces. For any non-symmetric, effective, strongly isotropy irreducible2homogeneous Riemannian manifold , we compute the dimensions of the spaces of -invariant affine and metric connections. For such manifolds we also describe the space of invariant metric connections with skew-torsion. For the compact Lie group we classify all bi-invariant metric connections, by introducing a new family of bi-invariant connections whose torsion is of vectorial type. Next we present applications related with the notion of -Einstein manifolds with skew-torsion. In particular, we classify all such invariant structures on any non-symmetric strongly isotropy irreducible homogeneous space.

Citovat

CHRYSIKOS, Ioannis; Christian GUSTAD a Henrik WINTHER. Invariant connections and Nabla-Einstein structures on isotropy irreducible spaces. Journal of Geometry and Physics. Amsterdam: Elsevier Science BV, 2019, roč. 138, April, s. 257-284. ISSN 0393-0440. Dostupné z: https://doi.org/10.1016/j.geomphys.2018.10.012.

@article{1471622,
   author = {Chrysikos, Ioannis and Gustad, Christian and Winther, Henrik},
   article_location = {Amsterdam},
   article_number = {April},
   doi = {https://doi.org/10.1016/j.geomphys.2018.10.012},
   keywords = {Homogeneous space; Connection; Symmetric space; Irreducible; Isotropy},
   language = {eng},
   issn = {0393-0440},
   journal = {Journal of Geometry and Physics},
   title = {Invariant connections and Nabla-Einstein structures on isotropy irreducible spaces},
   url = {https://doi.org/10.1016/j.geomphys.2018.10.012},
   volume = {138},
   year = {2019}
}

TY  - JOUR
ID  - 1471622
AU  - Chrysikos, Ioannis - Gustad, Christian - Winther, Henrik
PY  - 2019
TI  - Invariant connections and Nabla-Einstein structures on isotropy irreducible spaces
JF  - Journal of Geometry and Physics
VL  - 138
IS  - April
SP  - 257-284
EP  - 257-284
PB  - Elsevier Science BV
SN  - 03930440
KW  - Homogeneous space
KW  - Connection
KW  - Symmetric space
KW  - Irreducible
KW  - Isotropy
UR  - https://doi.org/10.1016/j.geomphys.2018.10.012
L2  - https://doi.org/10.1016/j.geomphys.2018.10.012
N2  - This paper is devoted to a systematic study and classification of invariant affine or metric connections on certain classes of naturally reductive spaces. For any non-symmetric, effective, strongly isotropy irreducible2homogeneous Riemannian manifold , we compute the dimensions of the spaces of -invariant affine and metric connections. For such manifolds we also describe the space of invariant metric connections with skew-torsion. For the compact Lie group we classify all bi-invariant metric connections, by introducing a new family of bi-invariant connections whose torsion is of vectorial type. Next we present applications related with the notion of -Einstein manifolds with skew-torsion. In particular, we classify all such invariant structures on any non-symmetric strongly isotropy irreducible homogeneous space.
ER  -

CHRYSIKOS, Ioannis; Christian GUSTAD a Henrik WINTHER. Invariant connections and Nabla-Einstein structures on isotropy irreducible spaces. \textit{Journal of Geometry and Physics}. Amsterdam: Elsevier Science BV, 2019, roč.~138, April, s.~257-284. ISSN~0393-0440. Dostupné z: https://doi.org/10.1016/j.geomphys.2018.10.012.

Přehled o publikaci