TRACELESS COMPONENT OF THE CONFORMAL CURVATURE TENSOR IN KÄHLER MANIFOLD [PDF]
, 2006 We investigate the traceless component of the conformal curvature tensor de-fined by (2.1) in Kähler manifolds of dimension> 4, and show that the traceless component is invariant under concircular change.
Shoichi Funabashi +7 more
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Deszcz Pseudo Symmetry Type LP-Sasakian Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 Recently the present authors introduced the notion of generalized quasi-conformal curvature tensor which bridges Conformal curvature tensor, Concircular curvature tensor, Projective curvature tensor and Conharmonic curvature tensor.
Baishya Kanak Kanti +1 more
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On the Geometry of the Riemannian Curvature Tensor of Nearly Trans-Sasakian Manifolds
Axioms, 2023 This paper presents the results of fundamental research into the geometry of the Riemannian curvature tensor of nearly trans-Sasakian manifolds. The components of the Riemannian curvature tensor on the space of the associated G-structure are counted, and
Aligadzhi R. Rustanov
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Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection
International Journal of Mathematics and Mathematical Sciences, 2012 We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an η-Einstein manifold.
Bilal Eftal Acet +2 more
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A (CHR)3-flat trans-Sasakian manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 In [4] M. Prvanovic considered several curvaturelike tensors defined for Hermitian manifolds. Developing her ideas in [3], we defined in an almost contact Riemannian manifold another new curvaturelike tensor field, which is called a contact ...
Koji Matsumoto
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GENERELIZED CONHARMONIC CURVATURE TENSOR OF NEARLY KAHLER MANIFOLD
Tikrit Journal of Pure Science, 2018 In this paper we study the relationship between tensor algebraic curvature tensor, and General conharmonic curvature tensor of Nearly Kahler manifold, i. e. it has a classical symmetry properties of the Riemann carvatur tensor.
Ali A. Shihab, Dhabiaʼa M. Ali
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The conformal change of the metric of an almost Hermitian manifold applied to the antiholomorphic curvature tensor [PDF]
, 2013 summary:By using the technique of decomposition of a Hermitian vector space under the action of a unitary group, Ganchev [2] obtained a tensor which he named the Weyl component of the antiholomorphic curvature tensor.
Prvanović, Mileva
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Curvature tensor of connection in principal bundle of Cartan's projective connection space
Дифференциальная геометрия многообразий фигур, 2019 We considered Cartan's projective connection space with structure equations generalizing the structure equations of the projective space and the condition of local projectivity (this condition is an analogue to the equiprojectivity condition in the ...
K. Bashashina
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Extracting the quantum geometric tensor of an optical Raman lattice by Bloch-state tomography
Physical Review Research, 2023 In Hilbert space, the geometry of the quantum state is identified by the quantum geometric tensor (QGT), whose imaginary part is the Berry curvature and whose real part is the quantum metric tensor.
Chang-Rui Yi +8 more
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Curvature Tensor of the Stationary Accelerated Frame in Gravity Field
, 2021 We define an accelerated frame that moves along rˆ -axis in the general relativistic curved space-time. We then calculate the curvature tensor of this accelerated frame in the stationary gravity field.
Sangwha Yi
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