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Some Notes Concerning Riemannian Submersions and Riemannian Homogenous Spaces
This article contains basic material regarding Riemannian submersions of the form \(\pi:G\longrightarrow G/H\), where \(G\) is a Lie group and \(H\) is a closed subgroup and \(G/H\) is endowed with a \(G\)-invariant metric. The particular case where \(G\) possesses a bi-invariant metric and \(G/H\) is naturally reductive is considered.
GÜLBAHAR, Mehmet +2 more
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Geometry of Foliated Manifolds
In this paper some results of the authors on geometry of foliated manifolds are stated and results on geometry of Riemannian (metric) foliations are discussed.
A.Ya. Narmanov, A.S. Sharipov
doaj
Differential of the Stretch Tensor for Any Dimension with Applications to Quotient Geodesics
The polar decomposition $X=WR$, with $X \in \mathrm{GL}(n, \mathbb{R})$, $W \in \mathcal{S}_+(n)$, and $R \in \mathcal{O}_n$, suggests a right action of the orthogonal group $\mathcal{O}_n$ on the general linear group $\mathrm{GL}(n, \mathbb{R ...
Bisson, Olivier, Pennec, Xavier
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On p-Parabolicity of Riemannian Submersions
6 ...
Andrade, Maria, da Silva, Pietro
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Biharmonic pseudo-Riemannian submersions from 3-manifolds
We classify the pseudo-Riemannian biharmonic submersion from a 3-dimensional space form onto a surface.
MURATHAN, CENGİZHAN, Erken, Irem Kupeli
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The concept of Cheeger deformations on fiber bundles with compact structure group. [PDF]
Cavenaghi LF, Grama L, Sperança LD.
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Anti-Invariant Riemannian Submersions from Sasakian Manifolds [PDF]
İrem Küpeli Erken, Cengizhan Murathan
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Nested Hyperbolic Spaces for Dimensionality Reduction and Hyperbolic NN Design. [PDF]
Fan X, Yang CH, Vemuri BC.
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An intrinsic curvature condition for submersions over Riemannian manifolds [PDF]
Llohann D. Sperança
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Nested Grassmannians for Dimensionality Reduction with Applications. [PDF]
Yang CH, Vemuri BC.
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