Results 21 to 30 of about 29,700 (193)
Abstract and Applied Analysis, 2006 The two-point boundary value problem for second-order differential inclusions of the form (D/dt)m˙(t)∈F(t,m(t),m˙(t)) on complete Riemannian manifolds is investigated for a couple of points, nonconjugate along at least one geodesic of Levi-Civitá ...
Yuri E. Gliklikh, Peter S. Zykov
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Singular Minimal Surfaces which are Minimal
Universal Journal of Mathematics and Applications, 2021 In the present paper, we discuss the singular minimal surfaces in Euclidean $3-$space $\mathbb{R}^{3}$ which are minimal. Such a surface is nothing but a plane, a trivial outcome.
Ayla Erdur Kara +2 more
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The principle of equivalence and projective structure in space-times [PDF]
, 2007 This paper discusses the extent to which one can determine the space-time metric from a knowledge of a certain subset of the (unparametrised) geodesics of its Levi-Civita connection, that is, from the experimental evidence of the equivalence principle ...
Bel L +14 more
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A counterexample to Belgun-Moroianu conjecture [PDF]
, 2014 We construct an example of a closed manifold with a nonflat reducible locally metric connection such that it preserves a conformal structure and such that it is not the Levi-Civita connection of a Riemannian metric.Comment: are as always ...
Matveev, Vladimir S., Nikolayevsky, Yuri
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A new look at Levi-Civita connection in noncommutative geometry [PDF]
International Journal of Geometric Methods in Modern Physics, 2021 We prove the existence and uniqueness of Levi-Civita connections for strongly [Formula: see text]-compatible pseudo-Riemannian metrics on tame differential calculi. Such pseudo-Riemannian metrics properly contain the classes of bilinear metrics as well as their conformal deformations. This extends the previous results in [J. Bhowmick, D. Goswami and S.
Jyotishman Bhowmick +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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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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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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Levi-Civita connections for conformally deformed metrics on tame differential calculi [PDF]
International Journal of Mathematics, 2021 Given a tame differential calculus over a noncommutative algebra [Formula: see text] and an [Formula: see text]-bilinear metric [Formula: see text] consider the conformal deformation [Formula: see text] [Formula: see text] being an invertible element of [Formula: see text] We prove that there exists a unique connection [Formula: see text] on the ...
Jyotishman Bhowmick +2 more
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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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