Author
Mancho Manev
Other affiliations: Plovdiv University "Paisii Hilendarski", Yahoo!
Bio: Mancho Manev is an academic researcher from Medical University Plovdiv. The author has contributed to research in topics: Manifold & Lie group. The author has an hindex of 15, co-authored 82 publications receiving 655 citations. Previous affiliations of Mancho Manev include Plovdiv University "Paisii Hilendarski" & Yahoo!.
Papers published on a yearly basis
Papers
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TL;DR: In this paper, a classification with eleven basic classes of almost paracontact Riemannian manifolds of type n,n with respect to the covariant derivative of the (1, 1)-tensor of the almost parAContact structure is given.
Abstract: In this paper we give a classification with eleven basic classes of almost paracontact Riemannian manifolds of type (n,n) with respect to the covariant derivative of the (1,1)-tensor of the almost paracontact structure.
40 citations
TL;DR: In this paper, a natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric was constructed, and the class of these manifolds where the considered connection exists was determined.
Abstract: A natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric is constructed. The class of these manifolds, where the considered connection exists, is determined. Some curvature properties for this connection, when the corresponding curvature tensor has the properties of the curvature tensor for the Levi-Civita connection and the torsion tensor is parallel, are obtained.
36 citations
TL;DR: In this article, a Sasaki-like almost contact complex Riemannian manifold is defined as an almost contact RC manifold whose complex cone is a holomorphic complex RC manifold, and a canonical construction is provided as an S 1 -solvable extension.
31 citations
TL;DR: In this paper, a natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric was constructed, and the class of these manifolds where the considered connection exists was determined.
Abstract: A natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric is constructed. The class of these manifolds, where the considered connection exists, is determined. Some curvature properties for this connection, when the corresponding curvature tensor has the properties of the curvature tensor for the Levi-Civita connection and the torsion tensor is parallel, are obtained.
29 citations
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01 Jan 2016
TL;DR: The the foundations of differential geometry is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
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463 citations
95 citations