Results 21 to 30 of about 355,696 (255)
$Q$-Curvature Tensor on $f$-Kenmotsu $3$-Manifolds
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
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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Riemann solitons on generalized weakly ω-symmetric α-cosymplectic manifolds [PDF]
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
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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TRACELESS COMPONENT OF THE CONFORMAL CURVATURE TENSOR IN KÄHLER MANIFOLD [PDF]
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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Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection
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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On the Geometry of the Riemannian Curvature Tensor of Nearly Trans-Sasakian Manifolds
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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A new curvature-like tensor in an almost contact Riemannian manifold
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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Invariants over Curvature Tensor Fields [PDF]
In this paper, we present constructions of higher-order polynomialO(n)-invariants over curvature tensor fields. These invariants are higher-order analogues of the scalar curvature. Our methods are based on certain replicative properties of theO(n)-module
Xu, Xiaoping, Xu, XP
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A (CHR)3-flat trans-Sasakian manifold
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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