Results 31 to 40 of about 29,700 (193)
Poisson Doubly Warped Product Manifolds
Mathematics, 2023 This article generalizes some geometric structures on warped product manifolds equipped with a Poisson structure to doubly warped products of pseudo-Riemannian manifolds equipped with a doubly warped Poisson structure.
Ibrahim Al-Dayel +2 more
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Totally real submanifolds of $(LCS)_n$-Manifolds [PDF]
, 2017 The present paper deals with the study of totally real submanifolds and $\textit{C}$-totally real submanifolds of $(LCS)_n$-manifolds with respect to Levi-Civita connection as well as quarter symmetric metric connection.
Hui, Shyamal Kumar, Pal, Tanumoy
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Invariant Submanifolds of Sasakian Manifolds Admitting Semisymmetric Nonmetric Connection
International Journal of Mathematics and Mathematical Sciences, 2012 The object of this paper is to study invariant submanifolds 𝑀 of Sasakian manifolds 𝑀 admitting a semisymmetric nonmetric connection, and it is shown that M admits semisymmetric nonmetric connection.
B. S. Anitha, C. S. Bagewadi
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Levi-Civita connections and vector fields for noncommutative differential calculi [PDF]
International Journal of Mathematics, 2020 We study covariant derivatives on a class of centered bimodules [Formula: see text] over an algebra [Formula: see text] We begin by identifying a [Formula: see text]-submodule [Formula: see text] which can be viewed as the analogue of vector fields in this context; [Formula: see text] is proven to be a Lie algebra.
Bhowmick, Jyotishman +2 more
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Conformal Transformations in Metric-Affine Gravity and Ghosts [PDF]
, 2012 Conformal transformations play a widespread role in gravity theories in regard to their cosmological and other implications. In the pure metric theory of gravity, conformal transformations change the frame to a new one wherein one obtains a conformal ...
Amarzguioui +37 more
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On geometry of sub-Riemannian η-Einstein manifolds
Дифференциальная геометрия многообразий фигур, 2019 On a sub-Riemannian manifold of contact type a connection with torsion is considered, called in the work a Ψ-connection. A Ψ-connection is a particular case of an N-connection.
S. Galaev
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A comment on metric vs metric-affine gravity
Physics Letters B, 2023 We consider the sum of the Einstein-Hilbert action and a Pontryagin density (PD) in arbitrary even dimension D≥4. All curvatures are functions of independent affine (torsionless) connections only.
Ulf Lindström, Özgür Sarıoğlu
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On q-deformed Levi-Civita connections
, 2020 We explore the possibility of introducing q-deformed connections on the quantum 2-sphere and 3-sphere, satisfying a twisted Leibniz rule in analogy with q-deformed derivations. We show that such connections always exist on projective modules.
Arnlind, Joakim +2 more
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Heterotic reduction of Courant algebroid connections and Einstein–Hilbert actions
Nuclear Physics B, 2016 We discuss Levi-Civita connections on Courant algebroids. We define an appropriate generalization of the curvature tensor and compute the corresponding scalar curvatures in the exact and heterotic case, leading to generalized (bosonic) Einstein–Hilbert ...
Branislav Jurčo, Jan Vysoký
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Levi-Civita connections for a class of noncommutative minimal surfaces [PDF]
International Journal of Geometric Methods in Modern Physics, 2021 In this paper, we study connections on hermitian modules, and show that metric connections exist on regular hermitian modules; i.e. finitely generated projective modules together with a non-singular hermitian form. In addition, we develop an index calculus for such modules, and provide a characterization in terms of the existence of a pseudo-inverse ...
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