Results 31 to 40 of about 901 (266)

On the geometry of sub-Riemannian manifolds equipped with a canonical quarter-symmetric connection

Дифференциальная геометрия многообразий фигур, 2023
In this article, a sub-Riemannian manifold of contact type is under­stood as a Riemannian manifold equipped with a regular distribution of codimension-one and by a unit structure vector field orthogonal to this distribution. This vector field is called a
S. V. Galaev
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Quarter - symmetric metric connection on a Sasakian manifold

Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2000
A linear metric connection on a Riemannian manifold \(M\) is called quarter-symmetric if its torsion tensor \(T\) satisfies \(T(X,Y) = \pi(Y)F(X) - \pi(X)F(Y)\) with some one-form \(\pi\) and \((1,1)\)-tensor field \(F\) on \(M\). The authors investigate the existence problem of quarter-symmetric metric connections and study curvature properties of ...
De, U. C., Sengupta, Joydeep
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Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms

Advances in Mathematical Physics, 2021
In this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space ...
Ali H. Al-Khaldi, Mohd. Aquib, Mohd Aslam, Meraj Ali Khan   +3 more
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Conformal Ricci soliton in Sasakian manifolds admitting general connection [PDF]

Journal of Hyperstructures
The object of the present paper is to study the Conformal Ricci soliton in Sasakian manifold admitting general connection, which is induced with quarter symmetric metric connection, generalized Tanaka Webster connection, Schouten-Van Kampen connection ...
Raghujyoti Kundu, Ashoke Das, Ashis Biswas   +2 more
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A Study on the φ - Symmetric K-Contact Manifold Admitting Quarter-Symmetric Metric Connection [PDF]

Zurnal matematiceskoj fiziki, analiza, geometrii, 2014
The local ??-symmetry and ??-symmetry of a K-contact manifold with respect to the quarter-symmetric metric connection are studied and the results concerning the ??-symmetry, scalar curvature with respect to the quarter- symmetric and the Levi-Civita connection are obtained.
Bagewadi, C.S., Ingalahalli, G.
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On a generalized quarter symmetric metric recurrent connection

Filomat, 2018
We introduce a generalized quarter-symmetric metric recurrent connection and study its geometrical properties. We also derive the Schur?s theorem for the generalized quarter-symmetric metric recurrent connection.
Tang, Wanxiao, Ho, Tal Yun, Ri, Kwang Il, Fu, Fengyun, Zhao, Peibiao   +4 more
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Generalized Wintgen inequality for BI-SLANT submanifolds in conformal Sasakian space form with quarter-symmetric connection [PDF]

Arab Journal of Mathematical Sciences
Purpose – In 1979, P. Wintgen obtained a basic relationship between the extrinsic normal curvature the intrinsic Gauss curvature, and squared mean curvature of any surface in a Euclidean 4-space with the equality holding if and only if the curvature ...
Mohd Aslam, Mohd Danish Siddiqi, Aliya Naaz Siddiqui   +2 more
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Concircular trasformation of a quarter symmetric metric connection in an SP-Sasakian manifold [PDF]

International Mathematical Forum, 2013
Summary: In [Tensor, New Ser. 38, 103--108 (1982; Zbl 0504.53015)], \textit{P. Stavre} defined semi-symmetric S-concircular and S-conharmonic connections and established some results. Anologous to this we define a concircular transformation on quarter symmetric metric connection in an SP-Sasakian manifold.
Kalpana, Srivastava, Priti
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Generalized Sasakian-Space-Forms with Projective Curvature Tensor

Demonstratio Mathematica, 2014
The object of the present paper is to study Ф-projectively flat generalized Sasakian-space-forms, projectively locally symmetric generalized Sasakian-space-forms and projectively locally Ф-symmetric generalized Sasakian-space-forms.
Sarkar A., Akbar Ali
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Solitonical Inequality on Submanifolds in Trans-Sasakian Manifolds Coupled with a Slant Factor

Axioms
In this article, we study the Ricci soliton on slant submanifolds of trans-Sasakian manifolds with a quarter symmetric non-metric connection. Moreover, we derive a lower-bound-type inequality for the slant submanifolds of trans-Sasakian manifolds with a ...
Mohd Danish Siddiqi, Rawan Bossly
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