Results 41 to 50 of about 6,895 (197)

Biharmonic Riemannian submersions from 3-manifolds

, 2010
An important theorem about biharmonic submanifolds proved independently by Chen-Ishikawa [CI] and Jiang [Ji] states that an isometric immersion of a surface into 3-dimensional Euclidean space is biharmonic if and only if it is harmonic (i.e, minimal). In
B. Fuglede, B. O’Neill, B.Y. Chen, B.Y. Chen, E. Loubeau, G.Y. Jiang, G.Y. Jiang, I. Dimitrić, P. Baird, P. Baird, R. Caddeo, T. Hasanis, T. Ishihara, Y.-L. Ou, Ye-Lin Ou, Ze-Ping Wang   +15 more
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Stochastic properties of the Laplacian on Riemannian submersions [PDF]

Geometriae 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, Oliveira, Jobson Q.   +1 more
openaire   +3 more sources

Generic ??-Riemannian submersions

Hacettepe Journal of Mathematics and Statistics, 2022
As a generalization of semi-invariant xi(perpendicular to)-Riemannian submersions, we introduce the generic xi(perpendicular to)- Riemannian submersions. We focus on the generic xi(perpendicular to)-Riemannian submersions for the Sasakian manifolds with examples and investigate the geometry of foliations.
openaire   +4 more sources

Some submersions of CR-hypersurfaces of Kaehler-Einstein manifold

International 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

Nonnegatively curved homogeneous metrics obtained by scaling fibers of submersions

, 2012
We consider invariant Riemannian metrics on compact homogeneous spaces G/H where an intermediate subgroup K between G and H exists, so that the homogeneous space G/H is the total space of a Riemannian submersion.
A.L. Oniščik, Andreas Kollross, J. Cheeger, K. Grove, L. Schwachhöfer, L. Schwachhöfer, Megan M. Kerr, N. Wallach, S. Helgason, T. Bröcker, W. Ziller   +10 more
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Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization

International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 4, April 2026.
We present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Keith C. Afas, Daniel Goldman
wiley   +1 more source

Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions

Abstract 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

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

A systolic inequality with remainder in the real projective plane

Open Mathematics, 2020
The first paper in systolic geometry was published by Loewner’s student P. M. Pu over half a century ago. Pu proved an inequality relating the systole and the area of an arbitrary metric in the real projective plane.
Katz Mikhail G., Nowik Tahl
doaj   +1 more source

On paraquaternionic submersions between paraquaternionic K\"ahler manifolds

, 2008
In this paper we deal with some properties of a class of semi-Riemannian submersions between manifolds endowed with paraquaternionic structures, proving a result of non-existence of paraquaternionic submersions between paraquaternionic K\"ahler non ...
A. Andrada, A. Andrada, A. Andrada, A. Andrada, A. Bejancu, A. Besse, A. Gray, Angelo V. Caldarella, B. O’Neill, B. O’Neill, C. Omero, C.M. Hull, D.V. Alekseevsky, D.V. Alekseevsky, D.V. Alekseevsky, D.V. Alekseevsky, E. García-Rio, E. García-Rio, F. Etayo, F. Etayo, H. Kamada, H. Ooguri, J. Baird, J. Eells, K. Yano, K. Yano, K. Yano, M. Davidse, M. Dunajski, M. Falcitelli, M. Gell-Mann, N. Blažić, N. Hitchin, O. Klein, O. Kowalski, P. Dombrowski, P. Libermann, S. Ianuş, S. Ianuş, S. Ianuş, S. Ianuş, S. Ianuş, S. Ianuş, S. Ivanov, S. Ivanov, S. Marchiafava, T. Kaluza, U. Theis, U. Theis, V. Cortés, V. Cortés, V. Cruceanu   +51 more
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