Results 41 to 50 of about 382 (182)

Willmore-Like Tori in Killing Submersions

open access: yesAdvances in Mathematical Physics, 2018
The first variation formula and Euler-Lagrange equations for Willmore-like surfaces in Riemannian 3-spaces with potential are computed and, then, applied to the study of invariant Willmore-like tori with invariant potential in the total space of a ...
Manuel Barros   +2 more
doaj   +1 more source

Some submersions of CR-hypersurfaces of Kaehler-Einstein manifold

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
The Riemannian submersions of a CR-hypersurface M of a Kaehler-Einstein manifold M˜ are studied. If M is an extrinsic CR-hypersurface of M˜, then it is shown that the base space of the submersion is also a Kaehler-Einstein manifold.
Vittorio Mangione
doaj   +1 more source

Stochastic properties of the Laplacian on Riemannian submersions [PDF]

open access: yesGeometriae Dedicata, 2012
Based on ideas of Pigolla and Setti \cite{PS} we prove that immersed submanifolds with bounded mean curvature of Cartan-Hadamard manifolds are Feller. We also consider Riemannian submersions $π\colon M \to N$ with compact minimal fibers, and based on various criteria for parabolicity and stochastic completeness, see \cite{Grygor'yan}, we prove that $M$
Brandão, M. Cristiane   +1 more
openaire   +3 more sources

P-38 On the Riemannian submersion invariant [PDF]

open access: yes, 2015
For a Riemannian submersion pi:Mn-\u3eBbwith totally geodesic fibers, the submersion invariant (see attached abstract for equation) was introduced using the integrability tensor of the submersion. B. Y.
Oh, Yun Myung
core   +1 more source

Riemannian submersions whose total manifolds admit a Ricci soliton [PDF]

open access: yes, 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

Affine hypersurfaces and superintegrable systems

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract It was recently shown that under mild assumptions, second‐order conformally superintegrable systems can be encoded in a (0,3)‐tensor, called structure tensor. For abundant systems, this approach led to algebraic integrability conditions that essentially allow one to restore a system from the knowledge of its structure tensor in a point on the ...
Vicente Cortés, Andreas Vollmer
wiley   +1 more source

Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions

open access: yesAbstract and Applied Analysis, 2012
For Riemannian manifolds M and N, admitting a submersion ϕ with compact fibres, we introduce the projection of a function via its decomposition into horizontal and vertical components. By comparing the Laplacians on M and N, we determine conditions under
M. T. Mustafa
doaj   +1 more source

Scalar curvature of Lagrangian Riemannian submersions and their harmonicity [PDF]

open access: yes, 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   +2 more
core   +1 more source

An elementary approach to Wehrl‐type entropy bounds in quantitative form

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We consider the problem of the stability (with sharp exponent) of the Lieb–Solovej inequality for symmetric SU(N)$SU(N)$ coherent states, which was obtained only recently by the authors. Here, we propose an elementary proof of this result, based on reformulating the Wehrl‐type entropy as a function defined on the unit sphere in Cd$\mathbb {C ...
Fabio Nicola   +2 more
wiley   +1 more source

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