Characterization on Mixed Generalized Quasi-Einstein Manifold
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 143-155
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In the present paper we study characterizations of odd and even dimensional mixed generalized quasi-Einstein manifold. Next we prove that a mixed generalized quasi-Einstein manifold is a generalized quasi-Einstein manifold under a certain condition. Then we obtain three and four dimensional examples of mixed generalized quasi-Einstein manifold to ensure the existence of such manifold. Finally we establish the examples of warped product on mixed generalized quasi-Einstein manifold.
In the present paper we study characterizations of odd and even dimensional mixed generalized quasi-Einstein manifold. Next we prove that a mixed generalized quasi-Einstein manifold is a generalized quasi-Einstein manifold under a certain condition. Then we obtain three and four dimensional examples of mixed generalized quasi-Einstein manifold to ensure the existence of such manifold. Finally we establish the examples of warped product on mixed generalized quasi-Einstein manifold.
Classification :
53C25
Keywords: Einstein manifold; quasi-Einstein manifold; generalized quasi-Einstein manifold; mixed generalized quasi-Einstein manifold; super quasi-Einstein manifold; warped product
Keywords: Einstein manifold; quasi-Einstein manifold; generalized quasi-Einstein manifold; mixed generalized quasi-Einstein manifold; super quasi-Einstein manifold; warped product
@article{AUPO_2016_55_2_a11,
author = {Pahan, Sampa and Pal, Buddhadev and BHATTACHARYYA, Arindam},
title = {Characterization on {Mixed} {Generalized} {Quasi-Einstein} {Manifold}},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {143--155},
year = {2016},
volume = {55},
number = {2},
zbl = {1365.53047},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_2016_55_2_a11/}
}
TY - JOUR AU - Pahan, Sampa AU - Pal, Buddhadev AU - BHATTACHARYYA, Arindam TI - Characterization on Mixed Generalized Quasi-Einstein Manifold JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica PY - 2016 SP - 143 EP - 155 VL - 55 IS - 2 UR - http://geodesic.mathdoc.fr/item/AUPO_2016_55_2_a11/ LA - en ID - AUPO_2016_55_2_a11 ER -
%0 Journal Article %A Pahan, Sampa %A Pal, Buddhadev %A BHATTACHARYYA, Arindam %T Characterization on Mixed Generalized Quasi-Einstein Manifold %J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica %D 2016 %P 143-155 %V 55 %N 2 %U http://geodesic.mathdoc.fr/item/AUPO_2016_55_2_a11/ %G en %F AUPO_2016_55_2_a11
Pahan, Sampa; Pal, Buddhadev; BHATTACHARYYA, Arindam. Characterization on Mixed Generalized Quasi-Einstein Manifold. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 143-155. http://geodesic.mathdoc.fr/item/AUPO_2016_55_2_a11/