Results 71 to 80 of about 2,985 (107)

?-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

CFT complexity and penalty factors

Journal of High Energy Physics
Quantum complexity of conformal field theory (CFT) states has recently gained significant attention, both as a diagnostic tool in condensed matter systems and in connection with holographic observables probing black hole interiors.
Stefano Baiguera, Nicolas Chagnet, Shira Chapman, Osher Shoval   +3 more
doaj   +1 more source

Canonical submersions in nearly Kähler geometry

Complex Manifolds
We explore submersions introduced by reducible holonomy representations of connections with parallel skew torsion. A submersion theorem extending previous, less general, results is given. As our main application, we show that parallel 3-(α,δ)\left(\alpha
Stecker Leander
doaj   +1 more source

Internal symmetries in Kaluza-Klein models

Journal of High Energy Physics
The usual approach to Kaluza-Klein considers a spacetime of the form M 4 × K and identifies the isometry group of g K 0 $$ {g}_K^0 $$ , the internal vacuum metric, with the gauge group in four dimensions.
João Baptista
doaj   +1 more source

Para-contact product semi-Riemannian submersions

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2017
We introduce the concept of para-contact product semi-Riemannian submersions from an almost para-contact metric manifold onto a semi-Riemannian product manifold. We provide an example and show that the vertical and horizontal distributions of such submersions are invariant with respect to the almost para-contact structure of the total manifold ...
openaire   +3 more sources

Nonlinear flag manifolds as coadjoint orbits. [PDF]

Ann Glob Anal Geom (Dordr), 2020
Haller S, Vizman C.
europepmc   +1 more source

A Characterization of Codimension One Collapse Under Bounded Curvature and Diameter. [PDF]

J Geom Anal, 2018
Roos S.
europepmc   +1 more source

Pinching Theorems for Statistical Submanifolds in Sasaki-Like Statistical Space Forms. [PDF]

Entropy (Basel), 2018
Alkhaldi AH, Aquib M, Siddiqui AN, Shahid MH.   +3 more
europepmc   +1 more source

Curvature Invariants of Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature. [PDF]

Entropy (Basel), 2018
Decu S, Haesen S, Verstraelen L, Vîlcu GE.   +3 more
europepmc   +1 more source

On some transverse geometrical structures of lifted foliation to its conormal bundle. [PDF]

ScientificWorldJournal, 2015
Ida C, Oană A.
europepmc   +1 more source