Results 11 to 20 of about 11,014 (263)
On curvature tensors of Hermitian manifolds [PDF]
Communications in Analysis and Geometry, 2018 This is the final version, accepted by ...
Yang, Bo, Zheng, Fangyang
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$Q$-Curvature Tensor on $f$-Kenmotsu $3$-Manifolds
Universal Journal of Mathematics and Applications, 2022 The object of the present paper is to consider $f$-Kenmotsu $3$-manifolds fulfilling certain curvature conditions on $Q$-curvature tensor with the Schouten-van Kampen connection.
Sunil Yadav, Ahmet Yıldız
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On the geometry of sub-Riemannian manifolds equipped with a canonical quarter-symmetric connection
Дифференциальная геометрия многообразий фигур, 2023 In this article, a sub-Riemannian manifold of contact type is understood as a Riemannian manifold equipped with a regular distribution of codimension-one and by a unit structure vector field orthogonal to this distribution. This vector field is called a
S. V. Galaev
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Nonnegative curvature and conullity of the curvature tensor [PDF]
Annals of Global Analysis and Geometry, 2019 The conullity of a curvature tensor is the codimension of its kernel. We consider the cases of conullity two in any dimension and conullity three in dimension four. We show that these conditions are compatible with non-negative sectional curvature only if either the manifold is diffeomorphic to $\mathbb{R}^n$ or the universal cover is an isometric ...
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Riemann solitons on generalized weakly ω-symmetric α-cosymplectic manifolds [PDF]
Surveys in Mathematics and its Applications, 2021 Generalized quasi-conformal curvature tensor (ω-tensor) has the flavor of conformal, conharmonic, concircular, projective, m-projective, W1-curvature, W2-curvature and W4-curvature tensors.
Sabina Eyasmin +2 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 new curvature-like tensor in an almost contact Riemannian manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2016 In a M. Prvanović’s paper [5], we can find a new curvature-like tensor in an almost Hermitian manifold.In this paper, we define a new curvature-like tensor, named contact holomorphic Riemannian, briefly (CHR), curvature tensor in an almost ...
Koji Matsumoto
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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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