Invariant connections and Nabla-Einstein structures on isotropy irreducible spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00108933" target="_blank" >RIV/00216224:14310/19:00108933 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.geomphys.2018.10.012" target="_blank" >https://doi.org/10.1016/j.geomphys.2018.10.012</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.geomphys.2018.10.012" target="_blank" >10.1016/j.geomphys.2018.10.012</a>

Result language
angličtina
Original language name
Invariant connections and Nabla-Einstein structures on isotropy irreducible spaces
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - 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
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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