Results 81 to 90 of about 6,895 (197)

Biharmonic Conformal Immersions into a 3-Dimensional Conformally Flat Space

Axioms
This paper investigates biharmonic conformal immersions of surfaces into a conformally flat 3-space. We first establish a characterization of such immersions of totally umbilical surfaces into a generic 3-manifold.
Ze-Ping Wang, Xue-Yi Chen
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A duality for prescribed mean curvature graphs in Riemannian and Lorentzian Killing submersions [PDF]

, 2023
Andrea Del Prete, Hojoo Lee, José M. Manzano   +2 more
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A Short Survey on Biharmonic Riemannian Submersions

International Electronic Journal of Geometry
The study of biharmonic submanifolds, initiated by B. Y. Chen and G. Y. Jiang independently, has received a great attention in the past 30 years with many important progress (see the reference for some recent books with vast references therein). This note attempts to give a short survey on the study of biharmonic Riemannian submersions which are a ...
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Bi-slant $\xi^{\perp}$-Riemannian submersions

Hacettepe Journal of Mathematics and Statistics, 2022
We introduce bi-slant $\xi^{\perp}$-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds as a generalization of slant and semi-slant $\xi^{\perp}$-Riemannian submersion and present some examples. We give the necessary and sufficient conditions for the integration of the distributions used to define the bi-slant $\xi^{\perp ...
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Geometry of Foliated Manifolds

Extracta Mathematicae, 2016
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

Comptes Rendus. Mathématique
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
doaj   +1 more source

Semi-Riemannian submersions with totally umbilic fibres [PDF]

, 2002
Gabriel Bădiţoiu, Stere Ianuş
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?-flat manifolds and Riemannian submersions

Manuscripta Mathematica, 1989
In this paper, we show that a certain rigidity condition (∑-flatness) for open nonnegatively curved manifoldsM is preserved by Riemannian submersions. The result can be applied to quotients ofM by groups of isometries. ∑-flat metrics are also used to derive a splitting theorem for distance tubes of maximal volume growth.
Strake, M., Walschap, G.
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Riemannian submersions from complex projective space [PDF]

, 1978
Richard H. Escobales
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A finiteness theorem for Riemannian submersions [PDF]

Annales Polonici Mathematici, 1992
Given nonnegative constants \(D\), \(V\), \(\kappa\) and \(\tau\), and positive integers \(p\) and \(n\), let \({\mathcal R}(D,V,\kappa,\tau,p,n)\) denote the collection of all Riemannian submersions \(F:M\to B\) satisfying the conditions (a) \(\dim M=n\) and \(\dim B=n-p\).
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