On some classes of mixed-super quasi-Einstein manifolds

Quasi-Einstein manifold and generalized quasi-Einstein manifold are the generalizations of Einstein manifold. The purpose of this paper is to study the mixed super quasi-Einstein manifold which is also the generalizations of Einstein manifold satisfying some curvature conditions. We define both Riemannian and Lorentzian doubly warped product on this manifold. Finally, we study the completeness properties of doubly warped products on MS(QE)₄ for both the Riemannian and Lorentzian cases.

Język:: Angielski

Częstotliwość wydawania:: 2 razy w roku
Dziedziny czasopisma:: Matematyka, Matematyka ogólna

Kanał RSS czasopisma

On some classes of mixed-super quasi-Einstein manifolds

Santu Dey

Buddhadev Pal

Arindam Bhattacharyya

Data publikacji: 02 sie 2016

Zakres stron: 32 - 52

Otrzymano: 12 paź 2015

DOI: https://doi.org/10.1515/ausm-2016-0003

Słowa kluczowemixed super quasi-Einstein manifold, Ricci-pseudosymmetric manifold, Ricci semisymmetric manifold, concircular curvature tensor, quasi-conformal curvature tensor, warped product, doubly warped product

© 2016 Santu Dey et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Słowa kluczowe
mixed super quasi-Einstein manifold, Ricci-pseudosymmetric manifold, Ricci semisymmetric manifold, concircular curvature tensor, quasi-conformal curvature tensor, warped product, doubly warped product