Results 71 to 80 of about 140 (130)

The concept of Cheeger deformations on fiber bundles with compact structure group. [PDF]

Sao Paulo J Math Sci, 2023
Cavenaghi LF, Grama L, Sperança LD.
europepmc   +1 more source

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 ...
openaire   +4 more sources

Nested Grassmannians for Dimensionality Reduction with Applications. [PDF]

J Mach Learn Biomed Imaging, 2022
Yang CH, Vemuri BC.
europepmc   +1 more source

Differentiable Manifolds and Geometric Structures

Mathematics
This editorial presents 26 research articles published in the Special Issue entitled Differentiable Manifolds and Geometric Structures of the MDPI Mathematics journal, which covers a wide range of topics particularly from the geometry of (pseudo ...
Adara M. Blaga
doaj   +1 more source

Bakry-Émery Ricci Curvature Bounds for Doubly Warped Products of Weighted Spaces. [PDF]

J Geom Anal, 2022
Fathi Z, Lakzian S.
europepmc   +1 more source

?-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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Publication Only

HemaSphere, Volume 10, Issue S1, June 2026.
wiley   +1 more source

RIEMANNIAN SUBMERSIONS FROM RIEMANN SOLITONS

Matematički Vesnik
Summary: In the present paper, we study a Riemannian submersion \(\pi\) from a Riemann soliton \((M_1,g,\xi,\lambda)\) onto a Riemannian manifold \((M_2,g^{'})\). We first calculate the sectional curvatures of any fibre of \(\pi\) and the base manifold \(M_2\). Using them, we give some necessary and sufficient conditions for which the Riemann soliton \(
Meriç, Şemsi Eken, Kılıç, Erol
openaire   +1 more source

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 \(\dim B=n-p\).
openaire   +2 more sources

Riemannian submersions and slant submanifolds

Publicationes Mathematicae Debrecen, 2002
Plan Andaluz de Investigación (Junta de Andalucía)
Cabrerizo Jaraíz, José Luis, Carriazo Rubio, Alfonso, Fernández Fernández, Luis Manuel, Fernández Andrés, Manuel   +3 more
openaire   +3 more sources