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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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Nested Grassmannians for Dimensionality Reduction with Applications. [PDF]

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

Semi-Riemannian submersions from real and complex pseudo-hyperbolic spaces [PDF]

, 2002
We classify the semi-Riemannian submersions from a pseudo-hyperbolic space onto a Riemannian manifold under the assumption that the fibres are connected and totally geodesic.
Bădiţoiu, Gabriel, Stere Ianuş, Ianuş, Stere, Gabriel Bădiţoiu   +3 more
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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

ANTI-INVARIANT SUBMERSIONS FROM ALMOST PARACONTACT RIEMANNIAN MANIFOLDS

, 2019
We introduce anti-invariant Riemannian submersions from almost paracontact Riemannian manifolds onto Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and ...
Gunduzalp, Yilmaz
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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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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
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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
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Riemannian Submersions And Lie Groups [PDF]

, 2005
The principal topic of this thesis is the study of Riemannian submersions and Riemannian foliations of Lie groups. We classify Riemannian submersions of tori $T$ with left invariant (hence bi-invariant) metric.
Jimenez, William
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