Showing papers by "Arindam Bhattacharyya published in 2018"
01 Mar 2018
TL;DR: In this article, the authors studied characterizations of odd and even dimensional pseudo generalized quasi Einstein manifold and gave three and four dimensional examples (both Riemannian and Lorentzian) to show the existence of such manifold.
Abstract: In this paper we study characterizations of odd and even dimensional pseudo generalized quasi Einstein manifold and we give three and four dimensional examples (both Riemannian and Lorentzian) of pseudo generalized quasi Einstein manifold to show the existence of such manifold. Also in the last section we give the examples of warped product on pseudo generalized quasi Einstein manifold.
1 citations
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TL;DR: Tanno as discussed by the authors classified connected almost contact metric manifold as automorphism group with maximum dimension, which is the same as the one we consider here, and showed that these automorphisms have maximum dimension.
Abstract: Connected almost contact metric manifold was classified by S.Tanno, as those automorphism group has maximum dimension.
1 citations
TL;DR: In this article, the authors investigate the regularization of heptahedra using geometric element transformation method (GETMe) always we get a new element In this paper, they investigate energy function is a cost function for hepta-hedra which is also applicable for octahedra, decahedras, hexahedral etc.
Abstract: By Geometric element transformation method (GETMe) always we get a new element In this paper, we investigate the regularization of heptahedra using GETMe Energy function is a cost function for heptahedra which is also applicable for octahedra, decahedra, hexahedra etc is defined by a particular process, which we call base diagonal apex method (BDAMe) We also try to find the characterization of different cost function using BDAMe when we transform a heptahedra by GETMe
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TL;DR: The homology group was further developed by Emmy Noether and, independently, by Leopold Vietoris and Walther Mayer in the period 1925-28 as mentioned in this paper, which was the first formal definition of homology classes.
Abstract: Homology classes were first defined rigorously by Henri Poincar´e in his seminal paper “Analysis situs” in 1895 referring to the work of Riemann,Betti and von Dyck. The homology group was further developed by Emmy Noether and, independently, by Leopold Vietoris and Walther Mayer in the period 1925-28.