Results 71 to 80 of about 47,101 (158)

?-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.
openaire   +1 more source

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

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

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

P-36 An inequality on Riemannian submersion invariant and theta-slant isometric immersion

, 2013
It has been known that if a Riemannian manifold admits a non-trivial Riemannian submersion with totally geodesic fibers, then it cannot be isometrically immersed in any Riemannian manifold of non-positive sectional curvature as a minimal submanifold. B.Y.
Oh, Yun Myung
core  

Scalar curvature of Lagrangian Riemannian submersions and their harmonicity

, 2017
In this paper, we consider a Lagrangian Riemannian submersion from a Hermitian manifold to a Riemannian manifold and establish some basic inequalities to obtain relationships between the intrinsic and extrinsic invariants for such a submersion.
Erol Kiliç, Şemsi Eken Meri̇ç, Yasemi̇n Sağiroğlu   +2 more
core   +1 more source

Clairaut Hemi-Slant Riemannian submersions from almost product Riemannian manifolds

, 2023
Beş bölümden oluşan bu tez çalışmasının birinci bölümü olan giriş kısmında çeşitli submersiyon konuları üzerine yapılan çalışmalar hakkında bilgi verilmiştir.
Yıldız, Murat
core   +1 more source

Riemannian submersions whose total manifolds admit a Ricci soliton

, 2019
In this paper, we study Riemannian submersions whose total manifolds admit a Ricci soliton. Here, we characterize any fiber of such a submersion is Ricci soliton or almost Ricci soliton.
Kilic, Erol, Meric, Semsi Eken
core   +1 more source

Nested Hyperbolic Spaces for Dimensionality Reduction and Hyperbolic NN Design. [PDF]

Proc IEEE Comput Soc Conf Comput Vis Pattern Recognit, 2022
Fan X, Yang CH, Vemuri BC.
europepmc   +1 more source

Anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds

, 2015
We introduce anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on cosymplectic manifolds. We investigate necessary and sufficient condition

core   +2 more sources