Results 11 to 20 of about 55 (45)

On lightlike geometry of para-Sasakian manifolds. [PDF]

ScientificWorldJournal, 2014
We study lightlike hypersurfaces of para‐Sasakian manifolds tangent to the characteristic vector field. In particular, we define invariant lightlike hypersurfaces and screen semi‐invariant lightlike hypersurfaces, respectively, and give examples. Integrability conditions for the distributions on a screen semi‐invariant lightlike hypersurface of para ...
Acet BE, Yüksel Perktaş S, Kılıç E.
europepmc   +2 more sources

On ϕ‐Symmetric N(k)‐Paracontact Metric Manifolds

Journal of Mathematics, Volume 2015, Issue 1, 2015., 2015
The notions of ϕ‐symmetric, 3‐dimensional locally ϕ‐symmetric, ϕ‐Ricci symmetric, and 3‐dimensional locally ϕ‐Ricci symmetric N(k)‐paracontact metric manifolds have been introduced and properties of these structures have been discussed.
D. G. Prakasha, K. K. Mirji, Mauro Nacinovich   +2 more
wiley   +1 more source

Some Curvature Conditions on a Para‐Sasakian Manifold with Canonical Paracontact Connection

International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012
We study canonical paracontact connection on a para‐Sasakian manifold. We prove that a Ricci‐flat para‐Sasakian manifold with respect to canonical paracontact connection is an η‐Einstein manifold. We also investigate some properties of curvature tensor, conformal curvature tensor, W2‐curvature tensor, concircular curvature tensor, projective curvature ...
Bilal Eftal Acet, Erol Kılıç, Selcen Yüksel Perktaş, Jerzy Dydak   +3 more
wiley   +1 more source

ParaHermitian and paraquaternionic manifolds

, 2005
A set of canonical paraHermitian connections on an almost paraHermitian manifold is defined. ParaHermitian version of the Apostolov–Gauduchon generalization of the Goldberg–Sachs theorem in General Relativity is given.
Zamkovoy, Simeon, Ivanov, Stefan
core   +1 more source

Conformal Curvature Tensor of Quasi-Para-Sasakian Manifolds Admitting Zamkovoy Connection

International Journal For Multidisciplinary Research
The purpose of the present paper is to study various geometric properties of quasi-para-Sasakian manifold with respect to Zamkovoy connection. In the present article we have studied that quasi-conformally flat quasi-para-Sasakian manifold, conformally flat, ϕ-conformally flat quasi-para-Sasakian manifold and shows that the manifold is an η-Einstein ...
Giteshwari Pandey, Sandeep Mishra, Shravan Pandey, R. Singh   +3 more
openaire   +1 more source

Geometry of paraquaternionic contact structures

We introduce the notion of paraquaternionic contact structures (pqc structures), which turns out to be a generalization of the para 3-Sasakian geometry. We derive a distinguished linear connection preserving the pqc structure.
Zamkovoy, Simeon, Tchomakova, Marina, Ivanov, Stefan   +2 more
core   +1 more source

STUDY OF QUASI-CONFORMALLY FLAT α - SASAKIAN MANIFOLD UNDER ZAMKOVOY CONNECTION

The present work is constructed with the study of pseudo-quasi conformally α-Sasakian manifold with Zamkovoy connection. Also we examine ϕ-pseudo quasi-conformally flat α-Sasakian manifold under the Zamkovoy connection. We also design projectively flat α-Sasakian manifold for Zamkovoy connection that is quasi M* and ϕ-M*.
openaire   +2 more sources

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Study of Sasakian manifolds admitting $$*$$-Ricci–Bourguignon solitons with Zamkovoy connection

ANNALI DELL'UNIVERSITA' DI FERRARA, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Soumendu Roy, Santu Dey
openaire   +2 more sources

ON PARA-KENMOTSU MANIFOLDS ADMITTING ZAMKOVOY CONNECTION

jnanabha
The goal of this paper is to study a PK-manifold (briefly, PK-manifold) that admits a Zamkovoy connection. We use a new (0, 2) type symmetric tensor Z to derive a new tensor field from the Mprojective curvature tensor (briefly, MP-curvature tensor).
Jain, Swati, Pandey, M. K., Goyal, A.
openaire   +1 more source

On para-Sasakian manifold admitting Zamkovoy connection

Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
The purpose of the present paper is to study some properties of para-Sasakian manifold admitting Zamkovoy connection. We obtain some interesting result on para-Sasakian manifold. It is shown that M-projectively flat para-Sasakian manifold is η-Einstein manifold.
Goyal, A., Jain, Swati, Pandey, M. K.
openaire   +1 more source