Results 1 to 10 of about 10,399 (120)
Non-reductive spaces with equiaffine connections of nonzero curvature [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The introduction of this article states the object of our investigation which is structures on homogeneous spaces. The problem of establishing links between the curvature and the structure of a manifold is one of the important problems of geometry.
Mozhey, Natal’ya Pavlovna
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Geometry of left-invariant Randers metric on the Heisenberg groups [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In this paper, we consider the Heisenberg groups which play a crucial role in both geometry and theoretical physics. Design/methodology/approach – In the first part, we retrieve the geometry of left-invariant Randers metrics on the Heisenberg ...
Ghodratallah Fasihi-Ramandi +1 more
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Conflict between some higher-order curvature invariant terms
Nuclear Physics B, 2021 A viable quantum theory does not allow curvature invariant terms of different higher orders to be accommodated in the gravitational action. We show that there is indeed a conflict between the curvature squared and Gauss-Bonnet squared terms from the ...
Dalia Saha +3 more
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Some remarks on invariant lightlike submanifolds of indefinite Sasakian manifold [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The author considers an invariant lightlike submanifold M, whose transversal bundle tr(TM) is flat, in an indefinite Sasakian manifold M¯(c) of constant φ¯-sectional curvature c. Under some geometric conditions, the author demonstrates that c=1,
Samuel Ssekajja
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Homogeneous spaces of unsolvable Lie groups that do not admit equiaffine connections of nonzero curvature [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 An important subclass among homogeneous spaces is formed by isotropically-faithful homogeneous spaces, in particular, this subclass contains all homogeneous spaces admitting invariant affine connection.
Mozhey, Natalya Pavlovna
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The commutative nonassociative algebra of metric curvature tensors
Forum of Mathematics, Sigma, 2021 The space of tensors of metric curvature type on a Euclidean vector space carries a two-parameter family of orthogonally invariant commutative nonassociative multiplications invariant with respect to the symmetric bilinear form determined by the metric ...
Daniel J. F. Fox
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Pseudoparallel invariant submanifolds of Kenmotsu manifolds
Journal of Amasya University the Institute of Sciences and Technology, 2023 In this paper, we consider pseudoparallel invariant submanifolds, a particular class of invariant submanifolds of Kenmotsu manifolds, on $W_8$ curvature tensor and investigate some of their basic characterizations, such as $W_8$ pseudoparallel, $W_8$-2 ...
Nurnisa Karaman, Mehmet Atçeken
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Generalized disformal invariance of cosmological perturbations with second-order field derivatives
Physics Letters B, 2021 We investigate how the comoving curvature and tensor perturbations are transformed under the generalized disformal transformation with the second-order covariant derivatives of the scalar field, where the free functions depend on the fundamental elements
Masato Minamitsuji
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CURVATURE APPROXIMATION FROM PARABOLIC SECTORS
Image Analysis and Stereology, 2017 We propose an invariant three-point curvature approximation for plane curves based on the arc of a parabolic sector, and we analyze how closely this approximation is to the true curvature of the curve.
Ximo Gual-Arnau +2 more
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Pinching Theorems for a Vanishing C-Bochner Curvature Tensor
Mathematics, 2018 The main purpose of this article is to construct inequalities between a main intrinsic invariant (the normalized scalar curvature) and an extrinsic invariant (the Casorati curvature) for some submanifolds in a Sasakian manifold with a zero C-Bochner ...
Jae Won Lee, Chul Woo Lee
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