Certain Study on Lorentzian-Para Sasakian Manifolds
Resumo
The present paper deals with certain study of Lorentzian para-Sasakian manifolds endowed with extended quasi-conformal curvature tensor. Specifically, we have considered Lorentzian para-Sasakian manifolds admitting extended quasi conformally $\phi$-flat, extended quasi conformally $\phi$-semi-symmetric and $K_{e}(\xi,U)\cdot S=0$ conditions and characterize some important results.
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Referências
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\bibitem{sp3} U. C. De,\, K. Matsumoto and A. A. Shaikh ,\,{\em On Lorentzian Para-Sasakian manifolds,}\,Rendicontidel Seminaro Matemetico di Messina, Serien II,
Supplemento al., 3 (1999), 149-156.
\bibitem{a12} U. C. De and A. Sarkar,\,\ {\em on the quasi conformal curvature tensor of a $(K, \mu)$ contact metric manifold,}\,\,
Math. Reports, 14 (64) 2(2012), 115-129.
\bibitem{spxx} R. S. Hamilton,\,{\em The Ricci flow on surfaces. In Mathematics and general relativity ( santa Cruz, CA, 1986),} Amer.
Math. Soc., Providence, RI, 71 (1988), 237-262.
\bibitem{sp15} S. Kobayashi and K. Nomizu,\,\,{\em Foundations of differential geometry,}\,\, Interscience Publishers, 1 (1963), 293-301.
\bibitem{sp13} K. Matsumoto,\,\,{\em On Lorentzian paracontact manifolds,}\,\,Bull. Yamagata Univ. Natur. Sci, 12 (1989), 151-156.
\bibitem{sp1} K. Matsumoto,\,\,{\em On Lorentzian almost paracontact manifolds,}\,\,Bull. Yamagata Univ. Natur. Sci, 12 (2) (1989), 151-156.
\bibitem{sp5} I. Mihai, U. C. De, and A. A. Shaikh,\,\,{\em On Lorentzian Para-Sasakian manifolds,}\,\,Korean J. Math. Sci., 6 (1999), 1-13.
\bibitem{sp2} I. Mihai, R. Rosca,\,\,{\em On Lorentzian Para-Sasakian manifolds,}\,\,Classical Analysis, World Scientific Publ., Singapore, (1992), 155-169.
Publicado
2026-03-29
Seção
Artigos
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