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Connected Components on Lie Groups and Applications to Multi-Orientation Image Analysis. [PDF]

J Math Imaging Vis
van den Berg NJ, Mula O, Vis L, Duits R.
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Thermodynamics à la Souriau on Kähler Non-Compact Symmetric Spaces for Cartan Neural Networks. [PDF]

Entropy (Basel)
Fré PG, Sorin AS, Trigiante M.
europepmc   +1 more source

Optimization Scheme for Hybrid RIS-Assisted ISAC System for Controllable Communication and Sensing. [PDF]

Sensors (Basel)
Deng Z, Li B, Wang H.
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Riemannian metrics on tangent bundles

Annali Di Matematica Pura Ed Applicata, 1988
Given a Riemannian manifold M, the tangent bundle TM and its sphere subbundle \(T_ 1M\) are studied as Riemannian manifolds equipped with the Sasaki metrics. Unlike most literature about this topics, the authors use Cartan's method of moving frames. They construct a natural class of metrics on TM containing the Sasaki metric and also a complete metric ...
MUSSO, EMILIO, TRICERRI F.
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A Metric Characterization of Riemannian Submersions

Annals of Global Analysis and Geometry, 2000
According to the first author [Sib. Math. J. 28, No. 4, 552-562 (1987; Zbl 0643.53053); translation from Sib. Mat. Zh. 28, No. 4(164), 44-56 (1987)], a map between metric spaces is a submetry if it sends closed balls around a point to closed balls of the same radius, around the image point.
Luis G Guijarro, V N Berestovskii
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Degenerate Riemannian metrics

Mathematical Notes, 1975
We give a criterion for the existence of a degenerate Riemannian metric on a paracompact C∞ manifold. We give a criterion for the existence of a corresponding connection without torsion on manifolds with degenerate Riemannian metrics.
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Riemannian Metrics and Riemannian Manifolds

2020
Fortunately, the rich theory of vector spaces endowed with a Euclidean inner product can, to a great extent, be lifted to the tangent bundle of a manifold. The idea is to equip the tangent space TpM at p to the manifold M with an inner product 〈−, −〉p, in such a way that these inner products vary smoothly as p varies on M. It is then possible to define
Jean Gallier, Jocelyn Quaintance
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