Results 21 to 30 of about 531 (177)
Levi-Civita connections from toral actions
Journal of Geometry and Physics, 2022 We construct tame differential calculi coming from toral actions on a class of $\mathrm{C}^*$-algebras. Relying on the existence of a unique Levi-Civita connection on such a calculus, we prove a version of the Bianchi identity. A Gauss-Bonnet theorem for the canonical tame calculus of rank two is studied.
Bhattacharjee, Suvrajit +2 more
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A non-trivial connection for the metric-affine Gauss–Bonnet theory in D = 4
Physics Letters B, 2019 We study non-trivial (i.e. non-Levi-Civita) connections in metric-affine Lovelock theories. First we study the projective invariance of general Lovelock actions and show that all connections constructed by acting with a projective transformation of the ...
Bert Janssen +2 more
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On canonscal quasi-geodesic mappings of recurrent-parabolic spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2018 The article is devoted to the problem of holomorphically projective transformations of locally conformal Kaehler manifolds. it's worth to be noted, that J. Mikes and Z.
Yevhen Cherevko, Olena Chepurna
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Conventionalism, Cosmology and Teleparallel Gravity
Universe, 2023 We consider homogeneous and isotropic cosmological models in the framework of three geometrical theories of gravitation. In Einstein’s general relativity, they are given in terms of the curvature of the Levi-Civita connection in torsion-free metric ...
Laur Järv, Piret Kuusk
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Completness of Statistical Structures
Mathematics, 2019 In this survey note, we discuss the notion of completeness for statistical structures. There are at least three connections whose completeness might be taken into account, namely, the Levi-Civita connection of the given metric, the statistical connection,
Barbara Opozda
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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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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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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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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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On the (non-)uniqueness of the Levi-Civita solution in the Einstein–Hilbert–Palatini formalism
Physics Letters B, 2017 We study the most general solution for affine connections that are compatible with the variational principle in the Palatini formalism for the Einstein–Hilbert action (with possible minimally coupled matter terms).
Antonio N. Bernal +5 more
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