The Riemann extensions with cyclic parallel Ricci tensor

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10286228" target="_blank" >RIV/00216208:11320/14:10286228 - isvavai.cz</a>
Result on the web
<a href="http://10.1002/mana.201200299" target="_blank" >http://10.1002/mana.201200299</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.201200299" target="_blank" >10.1002/mana.201200299</a>

Result language
angličtina
Original language name
The Riemann extensions with cyclic parallel Ricci tensor
Original language description
The property of being a D'Atri space (i.e., a Riemannian manifold with volume-preserving symmetries) is equivalent, in the real analytic case, to the infinite numebr of curvature identities called the odd Ledger conditions. In particular, a Riemannian manifold (M, g) satisfying the first odd Ledger condition L3 is said to be an L3-space. This definition extends easily to the affine space. Here we investigate the torsion-free affine manifolds (M, /nabla) and their Riemann extensions (T*M, g/bar) as concerns heredity of of the condition L3. We also incorporate a short survey of the previous results in this direction, including also the topic of D'Atri spaces.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F11%2F0356" target="_blank" >GAP201/11/0356: Riemannian, pseudo-Riemannian and affine differential geometry</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)