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Partha Roy Chowdhury

Bio: Partha Roy Chowdhury is an academic researcher. The author has contributed to research in topics: Physics & Nuclear physics. The author has an hindex of 3, co-authored 7 publications receiving 34 citations.

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TL;DR: In this paper, a generalized quasi-conformal curvature tensor (GQC tensor) was introduced, which is a new curva-ture tensor which bridges conformal curvatures, concircular curvatures and conharmonic curvatures.
Abstract: . The object of the present paper is to introduce a new curva-ture tensor, named generalized quasi-conformal curvature tensor whichbridges conformal curvature tensor, concircular curvature tensor, pro-jective curvature tensor and conharmonic curvature tensor. Flatness andsymmetric properties of generalized quasi-conformal curvature tensor arestudied in the frame of (k,µ)-contact metric manifolds. 1. IntroductionIn 1968, Yano and Sawaki [27] introduced the notion of quasi-conformalcurvature tensor which contains both conformal curvature tensor as well asconcircular curvature tensor, in the context of Riemannian geometry. In tunewith Yano and Sawaki [27], the present paper attempts to introduce a newtensor field, named generalized quasi-conformal curvature tensor. The beautyof generalized quasi-conformal curvature tensor lies in the fact that it has theflavour of Riemann curvature tensor R, conformal curvature tensor C [8] con-harmonic curvature tensor Cˆ [9], concircular curvature tensor E [26, p. 84],projective curvature tensor P [26, p. 84] and m-projective curvature tensor H[15], as particular cases. The generalized quasi-conformal curvature tensor isdefined asW(X,Y)Z =2n−12n+1[(1−b+2na)−{1+2n(a+b)}c]C(X,Y )Z+[1−b+2na]E(X,Y)Z +2 n (b−a) P(X,Y )Z+2 n−12 n+1(1.1) (c −1){1+2 n(a +b)} Cˆ(X,Y)Zfor all X,Y,Z ∈ χ(M), the set of all vector field of the manifold M, where a,b and c are real constants. The above mentioned curvature tensors are defined

13 citations

01 Jan 2016
TL;DR: The existence of an almost generalized weakly symmetric Ricci-symmetric Kenmotsu manifold is proved in this article by a non-trivial example, and the existence of such a manifold is shown to be possible in the context of weakly Ricci symmetric manifolds.
Abstract: This paper aims to introduce the notions of an almost generalized weakly symmetric Kenmotsu manifolds and an almost generalized weakly Ricci-symmetric Kenmotsu manifolds. The existence of an almost generalized weakly symmetric Kenmotsu manifold is ensured by a non-trivial example.

11 citations

Journal ArticleDOI
TL;DR: In this article, the existence of an almost generalized weakly symmetric LP-Sasakian manifold is proved by a non-trivial example, and the notions of weakly Ricci-symmetric LP S-Sakian manifolds are introduced.
Abstract: Abstract The purpose of this paper is to introduce the notions of an almost generalized weakly symmetric LP-Sasakian manifolds and an almost generalized weakly Ricci-symmetric LP-Sasakian manifolds. The existence of an almost generalized weakly symmetric LP-Sasakian manifold is ensured by a non-trivial example.

6 citations

Journal ArticleDOI
TL;DR: In this paper , the authors report on measurements of sequential ϒ suppression in Au+Au collisions at sNN=200 GeV with the STAR detector at the Relativistic Heavy Ion Collider (RHIC) through both the dielectron and dimuon decay channels.
Abstract: We report on measurements of sequential ϒ suppression in Au+Au collisions at sNN=200 GeV with the STAR detector at the Relativistic Heavy Ion Collider (RHIC) through both the dielectron and dimuon decay channels. In the 0%–60% centrality class, the nuclear modification factors (RAA), which quantify the level of yield suppression in heavy-ion collisions compared to p+p collisions, for ϒ(1S) and ϒ(2S) are 0.40±0.03(stat)±0.03(sys)±0.09(norm) and 0.26±0.08(stat)±0.02(sys)±0.06(norm), respectively, while the upper limit of the ϒ(3S) RAA is 0.17 at a 95% confidence level. This provides experimental evidence that the ϒ(3S) is significantly more suppressed than the ϒ(1S) at RHIC. The level of suppression for ϒ(1S) is comparable to that observed at the much higher collision energy at the Large Hadron Collider. These results point to the creation of a medium at RHIC whose temperature is sufficiently high to strongly suppress excited ϒ states.Received 14 July 2022Revised 30 November 2022Accepted 26 January 2023DOI:https://doi.org/10.1103/PhysRevLett.130.112301© 2023 American Physical SocietyPhysics Subject Headings (PhySH)Research AreasJets & heavy flavor physicsQuark-gluon plasmaRelativistic heavy-ion collisionsNuclear Physics

3 citations

01 Jan 2015
TL;DR: In this paper, the authors introduced the notion of generalized quasi-conformal curvature tensor which bridges Conformal, Concircular, Projective and Conharmonic curvatures.
Abstract: Recently the present author introduced the notion of generalized quasi-conformal curvature tensor which bridges Conformal curvature tensor, Concircular curvature tensor, Projective curvature tensor and Conharmonic curvature tensor. This article attempts to charectrize Sasakian manifolds with

3 citations


Cited by
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TL;DR: In this paper, a sharp relationship between the squared norm of the second fundamental form and the warping function in terms of the slant angle is established, and the equality case is also considered.
Abstract: Recently, Sahin studied the warped product semi-slant submanifolds of locally product Riemannian manifolds. In this paper, we obtain some geometric properties of such submanifolds with an example. Also, we establish a sharp relationship between the squared norm of the second fundamental form and the warping function in terms of the slant angle. The equality case is also considered.

28 citations

Posted Content
TL;DR: In this article, the proper existence of a generalized class of recurrent manifolds, namely, hyper-generalized recurrent manifold, was established and a metric was presented for the curvature properties of these manifolds.
Abstract: The present paper deals with the proper existence of a generalized class of recurrent manifolds, namely, hyper-generalized recurrent manifolds. We have established the proper existence of various generalized notions of recurrent manifolds. For this purpose we have presented a metric and computed its curvature properties and finally we have obtained the existence of a new class of semi-Riemannian manifolds which are non-recurrent but hyper-generalized recurrent, Ricci recurrent, conharmonically recurrent, manifold of recurrent curvature 2-forms and semisymmetric; not weakly symmetric but weakly Ricci symmetric, conformally weakly symmetric and conharmonically weakly symmetric; non-Einstein but Ricci simple; do not satisfy $P\cdot P =0$ but fulfills the condition $P \cdot P = -\frac{1}{3}Q(S, P)$, $P$ being the projective curvature tensor.

23 citations

Journal ArticleDOI
01 Dec 2019
TL;DR: In this paper, the authors investigated the Ricci solitons on D -homothetically deformed Kenmotsu manifold with generalized weakly symmetric and generalized Ricci symmetric curvature restrictions.
Abstract: The object of the present paper is to investigate the nature of Ricci solitons on D -homothetically deformed Kenmotsu manifold with generalized weakly symmetric and generalized weakly Ricci symmetric curvature restrictions.

11 citations