Results 31 to 40 of about 15,066 (137)
Metric connections in projective differential geometry
, 2008 We search for Riemannian metrics whose Levi-Civita connection belongs to a given projective class. Following Sinjukov and Mikes, we show that such metrics correspond precisely to suitably positive solutions of a certain projectively invariant finite-type
A.R. Gover +6 more
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MathematicsAlmost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with Ricci–Bourguignon-like almost solitons.
Mancho Manev
doaj +1 more source
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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Absolute Configuration Determination with Electronically Enhanced Vibrational Circular Dichroism
Angewandte Chemie, Volume 138, Issue 1, 2 January 2026.We introduce a practical workflow for simulating vibrational circular dichroism spectra enhanced by vibronic coupling. We achieve qualitative agreement with experiment for Co(II) and Ni(II) spartein complexes, circumventing inaccuracies in theoretical excitation energy predictions.
Mariia Sapova +4 more
wiley +2 more sources
The Einstein Action for Algebras of Matrix Valued Functions - Toy Models
, 1998 Two toy models are considered within the framework of noncommutative differential geometry. In the first one, the Einstein action of the Levi-Civita connection is computed for the algebra of matrix valued functions on a torus.
Hajac, Piotr M.
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Gallot-Tanno Theorem for closed incomplete pseudo-Riemannian manifolds and applications [PDF]
, 2010 We extend the Gallot-Tanno Theorem to closed pseudo-Riemannian manifolds. It is done by showing that if the cone over a manifold admits a parallel symmetric $(0,2)-$tensor then it is Riemannian.
A. Zeghib +17 more
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Pair of associated Schouten-van Kampen connections adapted to an almost contact B-metric structure
, 2015 There are introduced and studied a pair of associated Schouten-van Kampen affine connections adapted to the contact distribution and an almost contact B-metric structure generated by the pair of associated B-metrics and their Levi-Civita connections.
Manev, Mancho
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, EarlyView.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Gravitational interpretation of the Hitchin equations
, 2007 By referring to theorems of Donaldson and Hitchin, we exhibit a rigorous AdS/CFT-type correspondence between classical 2+1 dimensional vacuum general relativity theory on S x R and SO(3) Hitchin theory (regarded as a classical conformal field theory) on ...
Carlip +10 more
core +3 more sources
Non-natural metrics on the tangent bundle [PDF]
, 2020 Natural metrics provide a way to induce a metric on the tangent bundle from the metric on its base manifold. The most studied type is the Sasaki metric, which applies the base metric separately to the vertical and horizontal components.
Tron, Roberto, Vang, Bee
core