Geometric characteristics and properties of a three-parametric family of Lie groups with almost contact B-metric structure of the smallest dimension
DOI10.1142/S1793557120501636zbMath1464.53037OpenAlexW3014944559WikidataQ115244521 ScholiaQ115244521MaRDI QIDQ4985589
Miroslava Ivanova, Lilko Dospatliev
Publication date: 23 April 2021
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793557120501636
Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost contact and almost symplectic manifolds (53D15)
Cites Work
- A classification of the torsion tensors on almost contact manifolds with B-metric
- On the three-dimensional spaces which admit a continuous group of motions
- Canonical-type connection on almost contact manifolds with B-metric
- Lie groups as 3-dimensional almost contact B-metric manifolds
- NATURAL CONNECTION WITH TOTALLY SKEW-SYMMETRIC TORSION ON ALMOST CONTACT MANIFOLDS WITH B-METRIC
- Curvature properties on some classes of almost contact manifolds with B-metric
- A natural connection on some classes of almost contact manifolds with B-metric
- Almost contact B-metric structures and the Bianchi classification of the three-dimensional Lie algebras
- On the structure tensors of almost contact B-metric manifolds
- Matrix Lie groups as 3-dimensional almost contact B-metric manifolds
- Generalized symmetric spaces
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