Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold

Autor:	Payel Karmakar
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	anti-invariant submanifold trans-sasakian manifold zamkovoy connection $\eta$-einstein manifold ricci curvature tensor concircular curvature tensor projective curvature tensor $m$-projective curvature tensor pseudo projective curvature tensor ricci soliton\looseness-1 Mathematics QA1-939
Zdroj:	Mathematica Bohemica, Vol 147, Iss 3, Pp 419-434 (2022)
Druh dokumentu:	article
ISSN:	0862-7959 2464-7136
DOI:	10.21136/MB.2021.0058-21
Popis:	The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection. The nature of Ricci flat, concircularly flat, $\xi$-projectively flat, $M$-projectively flat, $\xi$-$M$-projectively flat, pseudo projectively flat and $\xi$-pseudo projectively flat anti-invariant submanifolds of trans-Sasakian manifold admitting Zamkovoy connection are discussed. Moreover, Ricci solitons on Ricci flat, concircularly flat, $M$-projectively flat and pseudo projectively flat anti-invariant submanifolds of trans-Sasakian manifold admitting the aforesaid connection are studied. At last, some conclusions are made after observing all the results and an example of an anti-invariant submanifold of a trans-Sasakian manifold is given in which all the results can be verified easily.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a0a56b03d8cf4271ad0eb542e3496eec Zobrazit plný text záznamu View record in DOAJ