Results 31 to 40 of about 4,274 (159)

Curvature properties of 3-quasi-Sasakian manifolds [PDF]

open access: yes, 2013
We find some curvature properties of 3-quasi-Sasakian manifolds which are similar to some well-known identities holding in the Sasakian case. As an application, we prove that any 3-quasi-Sasakian manifold of constant horizontal sectional curvature is ...
De Nicola, Antonio   +2 more
core   +2 more sources

SLANT SUBMANIFOLDS IN SASAKIAN MANIFOLDS [PDF]

open access: yesGlasgow Mathematical Journal, 2000
In this paper, we show new results on slant submanifolds of an almost contact metric manifold. We study and characterize slant submanifolds of K-contact and Sasakian manifolds. We also study the special class of three-dimensional slant submanifolds. We give several examples of slant submanifolds.1991 Mathematics Subject Classification 53C15, 53C40.
Cabrerizo, J. L.   +3 more
openaire   +1 more source

η-Ricci Solitons on Sasakian 3-Manifolds

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2017
In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold.
Majhi Pradip   +2 more
doaj   +1 more source

On weak symmetries of trans-Sasakian manifolds; pp. 213–223 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2009
The present paper deals with weakly symmetric and weakly Ricci symmetric trans-Sasakian manifolds. The existence of weakly Ricci symmetric trans-Sasakian manifolds is ensured by an example.
Absos Ali Shaikh, Shyamal Kumar Hui
doaj   +1 more source

Instantons on sine-cones over Sasakian manifolds [PDF]

open access: yes, 2014
We investigate instantons on sine-cones over Sasaki-Einstein and 3-Sasakian manifolds. It is shown that these conical Einstein manifolds are K"ahler with torsion (KT) manifolds admitting Hermitian connections with totally antisymmetric torsion ...
Bunk, Severin   +4 more
core   +3 more sources

Anti-quasi-Sasakian manifolds

open access: yesAnnals of Global Analysis and Geometry, 2023
AbstractWe introduce and study a special class of almost contact metric manifolds, which we call anti-quasi-Sasakian (aqS). Among the class of transversely Kähler almost contact metric manifolds $$(M,\varphi , \xi ,\eta ,g)$$ ( M , φ ,
Di Pinto, D, Dileo, G
openaire   +4 more sources

On the Geometry of the Riemannian Curvature Tensor of Nearly Trans-Sasakian Manifolds

open access: yesAxioms, 2023
This paper presents the results of fundamental research into the geometry of the Riemannian curvature tensor of nearly trans-Sasakian manifolds. The components of the Riemannian curvature tensor on the space of the associated G-structure are counted, and
Aligadzhi R. Rustanov
doaj   +1 more source

Sasaki-Einstein Manifolds [PDF]

open access: yes, 2010
This article is an overview of some of the remarkable progress that has been made in Sasaki-Einstein geometry over the last decade, which includes a number of new methods of constructing Sasaki-Einstein manifolds and obstructions.Comment: 58 pages ...
Sparks, James
core   +1 more source

On the geometry of warped product submanifolds of a quasi-hemi Slant submanifold with trans para Sasakian [PDF]

open access: yesJournal of Hyperstructures, 2023
The existence or non-existence of warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds is defined. Then we obtain that there are no proper warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds such that ...
Sabi Ahmad, Niranjan Kumar Mishra
doaj   +1 more source

Sasakian structures on CR-manifolds [PDF]

open access: yes, 2006
A contact manifold $M$ can be defined as a quotient of a symplectic manifold $X$ by a proper, free action of $\R^{>0}$, with the symplectic form homogeneous of degree 2. If $X$ is, in addition, Kaehler, and its metric is also homogeneous of degree 2, $M$
Ornea, Liviu, Verbitsky, Misha
core   +2 more sources

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