Results 51 to 60 of about 1,722 (148)

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

Axioms, 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
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Sasaki-Einstein and paraSasaki-Einstein metrics from (\kappa,\mu)-structures [PDF]

, 2013
We prove that any non-Sasakian contact metric (\kappa,\mu)-space admits a canonical \eta-Einstein Sasakian or \eta-Einstein paraSasakian metric. An explicit expression for the curvature tensor fields of those metrics is given and we find the values of ...
Alegre, Alekseevsky, Alfonso Carriazo, Baum, Beniamino Cappelletti-Montano, Blair, Blair, Blair, Blair, Boeckx, Bohle, Boyer, Calderbank, Cappelletti-Montano, Cappelletti-Montano, Cappelletti-Montano, Cappelletti-Montano, Cappelletti-Montano, Cappelletti-Montano, Gosh, Ivanov, Kaneyuki, Libermann, Matzeu, Narita, Pang, Perrone, Tanno, Tanno, Tondeur, Vergara-Diaz, Verónica Martín-Molina, Zamkovoy, Zamkovoy   +33 more
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Generalized Ricci Curvature Bounds for Three Dimensional Contact Subriemannian manifolds [PDF]

, 2014
Measure contraction property is one of the possible generalizations of Ricci curvature bound to more general metric measure spaces. In this paper, we discover sufficient conditions for a three dimensional contact subriemannian manifold to satisfy this ...
A Agrachev, A Agrachev, A Agrachev, A Agrachev, A Figalli, A Figalli, Andrei Agrachev, B O’neill, C Villani, CB Li, CB Li, D Cordero-Erausquin, DE Blair, E Barletta, F Otto, G Freiling, HD Cao, J Grifone, J Lott, J Lott, JJ Levin, KT Sturm, KT Sturm, L Ambrosio, M Rumin, M-K Renesse von, P Cannarsa, P Foulon, Paul W. Y. Lee, R Bhatia, RJ McCann, RJ McCann, S Ahdout, S Chanillo, S Ohta, S Ohta, T Coulhon, Y Brenier   +37 more
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Trans-Sasakian static spaces

Results in Physics, 2021
Static spaces (with perfect fluids) appeared in a natural way both in physics (cf. Hawking and Ellis, 1975) and mathematics (cf. A. Fischer and J. Marsden, Duke Math. J. 42 (3) (1975), 519–547).
Ibrahim Al-Dayel, Sharief Deshmukh, Gabriel-Eduard Vîlcu   +2 more
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CR- Submanifolds of a Nearly Trans-Hyperbolic Sasakian Manifold with a Quarter Symmetric Semi Metric Connection

Jurnal Matematika, 2016
The object of the present paper is to initiate the study contact CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection.
Shamsur Rahman
doaj   +1 more source

On η-Einstein Trans-Sasakian Manifolds

Annals of the Alexandru Ioan Cuza University - Mathematics, 2011
On η-Einstein Trans-Sasakian ManifoldsA systematic study of η-Einstein trans-Sasakian manifold is performed. We find eight necessary and sufficient conditions for the structure vector field ζ of a trans-Sasakian manifold to be an eigenvector field of the Ricci operator. We show that for a 3-dimensional almost contact metric manifold (M,φ, ζ, η, g), the
Al-Solamy, Falleh R., Kim, Jeong-Sik, Tripathi, Mukut Mani   +2 more
openaire   +1 more source

On Eta-Einstein Sasakian Geometry [PDF]

, 2005
We study eta-Einstein geometry as a class of distinguished Riemannian metrics on contact metric manifolds. In particular, we use a previous solution of the Calabi problem for Sasakian geometry to prove the existence of eta-Einstein structures on many ...
Boyer, Charles P., Galicki, Krzysztof, Matzeu, Paola   +2 more
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Pseudo-Slant submaniolds of nearly δ- Lorentzian trans Sasakian manifolds [PDF]

Journal of Hyperstructures
Our focus is on the existence of certain structures and similarities between pseudo slant submanifolds and nearly δ- Lorentzian trans Sasakian manifolds.
Shamsur Rahman
doaj   +1 more source

Sasakian structures on CR-manifolds [PDF]

, 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
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On Characterizing a Three-Dimensional Sphere

Mathematics, 2021
In this paper, we find a characterization of the 3-sphere using 3-dimensional compact and simply connected trans-Sasakian manifolds of type (α, β).
Nasser Bin Turki, Sharief Deshmukh, Gabriel-Eduard Vîlcu   +2 more
doaj   +1 more source