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Relevant bibliographies by topics / Quarter-symmetric metric connection

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Academic literature on the topic 'Quarter-symmetric metric connection'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Quarter-symmetric metric connection"

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Zhao, Di, Cholyong Jen, and Talyun Ho. "On a Ricci quarter-symmetric metric recurrent connection and a projective Ricci quarter-symmetric metric recurrent connection in a Riemannian manifold." Filomat 34, no. 3 (2020): 795–806. http://dx.doi.org/10.2298/fil2003795z.

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Two new types of connections, Ricci quarter-symmetric metric recurrent connection and projective Ricci quarter-symmetric metric recurrent connection, were introduced and some interesting geometrical and physical characteristics were achieved.

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Bulut, Şenay. "A quarter-symmetric metric connection on almost contact B-metric manifolds." Filomat 33, no. 16 (2019): 5181–90. http://dx.doi.org/10.2298/fil1916181b.

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The aim of this paper is to study the notion of a quarter-symmetric metric connection on an almost contact B-metric manifold (M,?,?,?,g). We obtain the relation between the Levi-Civita connection and the quarter-symmetric metric connection on (M,?,?,?,g).We investigate the curvature tensor, Ricci tensor and scalar curvature tensor with respect to the quarter-symmetric metric connection. In case the manifold (M,?,?,?,g) is a Sasaki-like almost contact B-metric manifold, we get some formulas. Finally, we give some examples of a quarter-symmetric metric connection.

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3

Rahman, Shamsur. "Characterization of Quarter Symmetric Non-Metric Connection on Transversal Hypersurfaces of Lorentzian para-Sasakian Manifolds." Journal of the Tensor Society 8, no. 01 (2007): 65–75. http://dx.doi.org/10.56424/jts.v8i01.10557.

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In the present paper, quarter symmetric non metric connection on transversal hypersurfaces of Lorentzian para-Sasakian manifold is defined. It is studied the characterization of connections for product structure and it is shown that each transversal hypersurfaces of Lorentzian para-Sasakian manifold admits an almost product Lorentzian structure on a quarter symmetric non metric connection. Some characterization of transversal hypersurfaces of Lorentzian paraSasakian manifold with a quarter symmetric non metric connection are studied which are closed.

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4

He, Guoqing, and Peibiao Zhao. "On submanifolds of an almost contact metric manifold admitting a quarter-symmetric non-metric connection." Filomat 33, no. 17 (2019): 5463–75. http://dx.doi.org/10.2298/fil1917463h.

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We study submanifolds of an almost contact metric manifold admitting a quarter-symmetric non-metric connection. We prove the induced connection on a submanifold is also quarter-symmetric non-metric connection. We consider the total geodesicness and minimality of a submanifold with respect to the quarter-symmetric non-metric connection. We obtain the Gauss, Cadazzi and Ricci equations for submanifolds with respect to the quarter-symmetric non-metric connection and show some applications of these equations. Finally, we give two examples verifying the results

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5

Zhang, Pengfei, Yanlin Li, Soumendu Roy та Santu Dey. "Geometry of α-Cosymplectic Metric as ∗-Conformal η-Ricci–Yamabe Solitons Admitting Quarter-Symmetric Metric Connection". Symmetry 13, № 11 (2021): 2189. http://dx.doi.org/10.3390/sym13112189.

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The outline of this research article is to initiate the development of a ∗-conformal η-Ricci–Yamabe soliton in α-Cosymplectic manifolds according to the quarter-symmetric metric connection. Here, we have established some curvature properties of α-Cosymplectic manifolds in regard to the quarter-symmetric metric connection. Further, the attributes of the soliton when the manifold gratifies a quarter-symmetric metric connection have been displayed in this article. Later, we picked up the Laplace equation from ∗-conformal η-Ricci–Yamabe soliton equation when the potential vector field ξ of the sol

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6

Mandal, Krishanu, and Uday Chand De. "Quarter-symmetric metric connection in a P-Sasakian manifold." Annals of West University of Timisoara - Mathematics and Computer Science 53, no. 1 (2015): 137–50. http://dx.doi.org/10.1515/awutm-2015-0007.

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Abstract In this paper, we consider a quarter-symmetric metric connection in a P-Sasakian manifold. We investigate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection. We consider semisymmetric P-Sasakian manifold with respect to the quarter- symmetric metric connection. Furthermore, we consider generalized recurrent P-Sasakian manifolds and prove the non-existence of recurrent and pseudosymmetric P-Sasakian manifolds with respect to the quarter-symmetric metric connection. Finally, we construct an example of a 5-dimensiona

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7

Zhao, Di, Talyun Ho, and Cholyong Jon. "Geometries of a manifold with a symmetric-type quarter-symmetric non-metric connection." Filomat 38, no. 13 (2024): 4553–67. https://doi.org/10.2298/fil2413553z.

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We introduce a symmetric-type quarter-symmetric non-metric connection family in a Rieman-nian manifold and study its geometrical properties. We also study the Schur?s theorem of the symmetric-type quarter-symmetric projective non-metric connection family and the symmetric-type quarter-symmetric conformal non-metric connection family.

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Aquib, Md, Vaishali Sah, Sarvesh Kumar Yadav, and Jaya Upreti. "On Ricci Solitons and Curvature Properties of Doubly Warped Products with QSMC." Axioms 14, no. 8 (2025): 548. https://doi.org/10.3390/axioms14080548.

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This paper explores the geometric interplay between the Levi–Civita connection and the quarter-symmetric metric connection on doubly warped product manifolds. We analyze the behavior of Ricci solitons on such manifolds, focusing on the influence of conformal and Killing vector fields within the framework of quarter-symmetric metric connections (QSMCs). Furthermore, we examine conditions under which the manifold exhibits Einstein properties, presenting new insights into Einstein-like structures in the context of doubly warped product manifolds endowed with a quarter-symmetric metric connection.

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9

Chen, Shuo, and Haiming Liu. "Quarter-Symmetric Non-Metric Connection of Non-Integrable Distributions." Symmetry 16, no. 7 (2024): 848. http://dx.doi.org/10.3390/sym16070848.

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In this paper, we focus on non-integrable distributions with a quarter-symmetric non-metric connection (QSNMC) in generalized Riemannian manifold. First, by studying a quarter-symmetric connection on the generalized Riemannian manifold, we obtain the condition that the connection is non-metric. Then, the Gauss, Codazzi and Ricci equations are proved for non-integrable distributions with respect to a quarter-symmetric non-metric connection in generalized Riemannian manifold. Furthermore, we deduce Chen’s inequalities for non-integrable distributions of real space forms with a quarter-symmetric

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10

Kumar, Rajesh, Laltluangkima Chawngthu, Oğuzhan Bahadir, and Meraj Ali Khan. "A Study of Generalized Symmetric Metric Connection on Nearly Kenmotsu Manifolds." Symmetry 17, no. 3 (2025): 317. https://doi.org/10.3390/sym17030317.

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The focus of this research is on investigating a new category of generalized symmetric metric connections within nearly Kenmotsu manifolds. The study delves into recognizing the generalized symmetric connections of type (α, β), which represent broader versions of the semi-symmetric metric connection (α=1, β=0) and the quarter-symmetric metric connection (α=0, β=1).

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Book chapters on the topic "Quarter-symmetric metric connection"

1

Khan, Mohammad Nazrul Islam, and Ljubica Velimirović. "Tangent Bundles Endowed with Quarter-Symmetric Non-metric $$\xi $$-Connection on 3-Dimensional Quasi-Sasakian Manifolds." In Infosys Science Foundation Series. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-9750-3_11.

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Bahadır, Oguzhan. "Curvature Tensors of Screen Semi-invariant Half-Lightlike Submanifolds of a Semi-Riemannian Product Manifold with Quarter-Symmetric Non-metric Connection." In Mathematical Methods and Modelling in Applied Sciences. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43002-3_13.

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Haque, Md Samiul, Shivaprasanna G S, and Somashekhara G. "Ricci Solitons on LP-Sasakian Manifolds with Respect to Quarter Symmetric Non-metric Connection." In Innovative Solutions: A Systematic Approach Towards Sustainable Future, Edition 1. BP International, 2025. https://doi.org/10.9734/bpi/mono/978-93-49238-47-3/ch31.

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Conference papers on the topic "Quarter-symmetric metric connection"

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Kumar, K. T. Pradeep, B. M. Roopa та K. H. Arun Kumar. "On W1 and W8 φ-symmetric K-contact manifold with respect to quarter-symmetric metric connection". У 2ND INTERNATIONAL CONFERENCE ON RECENT TRENDS IN APPLIED AND COMPUTATIONAL MATHEMATICS: ICRTACM-2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0116102.

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