The Ricci decomposition of the inertia tensor for a rigid body in arbitrary spatial dimensions [PDF]
International Journal of Theoretical Physics, 2023 AbstractThe rotations of rigid bodies in Euclidean space are characterized by their instantaneous angular velocity and angular momentum. In an arbitrary number of spatial dimensions, these quantities are represented by bivectors (antisymmetric rank-2 tensors), and they are related by a rank-4 inertia tensor. Remarkably, this inertia tensor belongs to a
E.A. Parker
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Study of weakly Ricci-symmetric spacetimes under gray’s decomposition and f (R,T)-gravity
Filomat, 2022 In this paper we characterize weakly Ricci-symmetric spacetimes (WRS)n endowed with the Gray?s Decomposition. We provide, several interesting results of (WRS)n in Gray?s Decomposition. In addition we discuss some results based on weakly Ricci-symmetric Generalized Robertson Walker (GRW) spacetimes. Moreover, we study (WRS)n spacetimes which
Bang-Yen Chen, Uday de, Fatemah Mofarreh
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Erratum to: Some Applications of the Hodge-de Rham Decomposition to Ricci solitons [PDF]
Results in Mathematics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aquino, C., Barros, A., Ribeiro, E. jun.
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GRAY's DECOMPOSITION AND WARPED PRODUCT OF GENERALIZED RICCI RECURRENT SPACETIMES
Reports on Mathematical Physics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
De, Uday Chand +2 more
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CHARACTERIZATIONS OF ALMOST PSEUDO-RICCI SYMMETRIC SPACETIMES UNDER GRAY's DECOMPOSITION
Reports on Mathematical Physics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hazra, Dipankar, De, Uday Chand
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Efficient Decomposition of Forman-Ricci Curvature on Vietoris-Rips Complexes and Data Applications [PDF]
arXiv.orgDiscrete Forman-Ricci curvature (FRC) is an efficient tool that characterizes essential geometrical features and associated transitions of real-world networks, extending seamlessly to higher-dimensional computations in simplicial complexes. In this article, we provide two major advancements: First, we give a decomposition for FRC, enabling local ...
de Souza, Danillo Barros +7 more
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Correction: The Ricci decomposition of the inertia tensor for a rigid body in arbitrary spatial dimensions [PDF]
International Journal of Theoretical PhysicsE.A. Parker
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On the decomposition of homogeneous systems with nondegenerate Killing-Ricci tensor
Hiroshima Mathematical Journal, 1981 Michihiko Kikkawa
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Investigation of Pseudo-Ricci Symmetric Spacetimes in Gray’s Subspaces
Journal of Mathematics, 2021 In the present paper, we focused our attention to study pseudo-Ricci symmetric spacetimes in Gray’s decomposition subspaces. It is proved that PRSn spacetimes are Ricci flat in trivial, A, and B subspaces, whereas perfect fluid in subspaces I, I⊕A, and I⊕
Sameh Shenawy +4 more
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We present a complete and explicit derivation of the Ricci tensor associatedwith a torsion-free Weyl connection in dimension n >= 3, using fixed geometricconventions and line-by-line curvature expansions. Adopting the Ricci contraction Ric_{mu nu} = R^lambda_{ lambda mu nu}, we showthat the Weyl--Ricci tensor decomposes canonically into three ...
MEGHEZZI, Axel Abdel Rahamane
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