Sasaki-like almost contact complex Riemannian manifolds

DOI10.1016/j.geomphys.2016.05.009zbMath1345.53033arXiv1402.5426OpenAlexW2226465836WikidataQ115353057 ScholiaQ115353057MaRDI QIDQ303886

Mancho Manev, Stefan Ivanov, Hristo Manev

Publication date: 22 August 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5426

zbMATH Keywords

\(S^1\)-solvable extensionalmost contact complex Riemannian manifoldsholomorphic complex Riemannian manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items

Ricci-like solitons with arbitrary potential and gradient almost Ricci-like solitons on Sasaki-like almost contact B-metric manifolds, Associated Nijenhuis tensors on manifolds with almost hypercomplex structures and metrics of Hermitian-Norden type, A semisymmetric metric connection on almost contact B−metric manifolds, Ricci-like solitons on almost contact B-metric manifolds, Manifolds with almost contact 3-structure and metrics of Hermitian-Norden type, Ricci-like solitons with vertical potential on Sasaki-like almost contact B-metric manifolds, Submanifolds of Sasaki-like Almost Contact Manifolds with B-metric, Slant and Legendre null curves in 3-dimensional Sasaki-like almost contact B-metric manifolds, \(\mathcal{D}\)-homothetic deformation on almost contact \(B\)-metric manifolds, Almost contact B-metric manifolds as extensions of a 2-dimensional space-form, Lie groups as 3-dimensional almost contact B-metric manifolds

Cites Work

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• On differentiable manifolds with certain structures which are closely related to almost contact structure. II
• Canonical-type connection on almost contact manifolds with B-metric
• On the Bochner conformal curvature of Kähler-Norden manifolds
• NATURAL CONNECTION WITH TOTALLY SKEW-SYMMETRIC TORSION ON ALMOST CONTACT MANIFOLDS WITH B-METRIC
• Spaces of Complex Null Geodesics in Complex-Riemannian Geometry
• Holomorphic hypersurfaces of Kaehler manifolds with Norden metric
• Almost-complex and almost-product Einstein manifolds from a variational principle
• De Rham–Wu decomposition of holomorphic Riemannian manifolds
• Riemannian geometry of contact and symplectic manifolds
• Symplectic manifolds with no Kähler structure
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