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Some Classes of Pseudosymmetric Contact Metric 3‐Manifolds

International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012
We study (a) the class of 3‐dimensional pseudosymmetric contact metric manifolds with harmonic curvature and Trl constant along the direction of ξ and (b) the class of (κ, μ, ν)‐contact metric pseudosymmetric 3‐manifolds of type constant in the direction of ξ.
Evaggelia Moutafi, T. Friedrich, O. Mokhov   +2 more
wiley   +1 more source

On the Conharmonic Curvature Tensor of Generalized Sasakian‐Space‐Forms

International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012
The object of the present paper is to characterize generalized Sasakian‐space‐forms satisfying certain curvature conditions on conharmonic curvature tensor. In this paper we study conharmonically semisymmetric, conharmonically flat, ξ‐conharmonically flat, and conharmonically recurrent generalized Sasakian‐space‐forms.
U. C. De, R. N. Singh, Shravan K. Pandey, G. Martin, M. Visinescu   +4 more
wiley   +1 more source

Characterizations of the Total Space (Indefinite Trans-Sasakian Manifolds) Admitting a Semi-Symmetric Metric Connection

Axioms, 2018
We investigate recurrent, Lie-recurrent, and Hopf lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a semi-symmetric metric connection. In these hypersurfaces, we obtain several new results.
Dae Ho Jin, Jae Won Lee
doaj   +1 more source

Deformations of Killing spinors on Sasakian and 3-Sasakian manifolds [PDF]

, 2015
We consider some natural infinitesimal Einstein deformations on Sasakian and 3-Sasakian manifolds. Some of these are infinitesimal deformations of Killing spinors and further some integrate to actual Killing spinor deformations.
van Coevering, Craig
core  

$\eta$-RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON $\delta$- LORENTZIAN TRANS-SASAKIAN MANIFOLDS [PDF]

, 2021
Mohd Danish Siddiqi, Mehmet Akif Akyol
openalex   +1 more source

3-Sasakian manifolds, 3-cosymplectic manifolds and Darboux theorem

, 2007
We present a compared analysis of some properties of 3-Sasakian and 3-cosymplectic manifolds. We construct a canonical connection on an almost 3-contact metric manifold which generalises the Tanaka-Webster connection of a contact metric manifold and we ...
De Nicola, Antonio, Montano, Beniamino Cappelletti   +1 more
core   +6 more sources

On Sasaki-Einstein manifolds in dimension five

, 2009
We prove the existence of Sasaki-Einstein metrics on certain simply connected 5-manifolds where until now existence was unknown. All of these manifolds have non-trivial torsion classes.
A. El Kacimi-Alaoui, A.G. Kouchnirenko, C.P. Boyer, C.P. Boyer, C.P. Boyer, C.P. Boyer, C.P. Boyer, C.P. Boyer, C.P. Boyer, C.P. Boyer, C.P. Boyer, C.P. Boyer, C.P. Boyer, Charles P. Boyer, D. Barden, J. Kollár, J. Kollár, J. Kollár, J.-P. Demailly, J.M. Johnson, J.P. Gauntlett, Michael Nakamaye, P. Orlik, P. Orlik, P. Orlik, S. Smale, S.S.-T. Yau   +26 more
core   +2 more sources

Applications of Disaffinity Vectors to Certain Riemannian Manifolds

Mathematics
A disaffinity vector on a Riemannian manifold is a vector field whose affinity tensor vanishes. In this paper, we prove that every disaffinity vector on a compact Riemannian manifold is an incompressible vector field.
Hanan Alohali, Sharief Deshmukh, Bang-Yen Chen   +2 more
doaj   +1 more source

On the Equivalence Problem for Toric Contact Structures on S^3-bundles over S^2$

, 2012
We study the contact equivalence problem for toric contact structures on $S^3$-bundles over $S^2$. That is, given two toric contact structures, one can ask the question: when are they equivalent as contact structures while inequivalent as toric contact ...
Banyaga, Bourgeois, Boyer, Charles P. Boyer, David, Haefliger, Justin Pati, Kirwan, Kontsevich, Lafontaine, Lerman, McDuff   +11 more
core   +1 more source

A Study on Trans-para-Sasakian Manifolds

Journal of Innovative Science and Engineering
In the current paper, we make the first contribution to investigate conditions under which three-dimensional trans-para-Sasakian manifold has η-parallel Ricci tensor and cyclic parallel Ricci tensor.
Irem KUPELI ERKEN, Mustafa OZKAN
doaj   +1 more source