Results 51 to 60 of about 161 (154)

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

Quasi‐Fuchsian flows and the coupled vortex equations

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract We provide an alternative construction of the quasi‐Fuchsian flows introduced by Ghys. Our approach is based on the coupled vortex equations that allows to see these flows as thermostats on the unit tangent bundle of the Blaschke metric, uniquely determined by a conformal class and a holomorphic quadratic differential.
Mihajlo Cekić, Gabriel P. Paternain
wiley   +1 more source

Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan, Francesco Pediconi, Sammy Sbiti   +2 more
wiley   +1 more source

Semi-invariant semi-Riemannian submersions

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2018
In this paper, we introduce semi-invariant semi-Riemannian submersions from para-Kahler manifolds onto semi-Riemannian manifolds. Wegive some examples, investigate the geometry of foliations that arise fromthe de…nition of a semi-Riemannian submersion and check the harmonicity ofsuch submersions.
AKYOL, Mehmet Akif, GÜNDÜZALP, Yılmaz
openaire   +2 more sources

Reverse isoperimetric inequalities for Lagrangian intersection Floer theory

Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract We extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagrangian submanifolds with intersections locally modelled on Rn∩(Rk×−1Rn−k)$\mathbb {R}^n\cap (\mathbb {R}^{k}\times \sqrt {-1}\mathbb {R}^{n-k})$ inside Cn$\mathbb {C}
J. ‐P. Chassé, J. Hicks, Y. J. Nho
wiley   +1 more source

Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley   +1 more source

The versal deformation of small resolutions of conic bundles over P1×P1${\mathbb {P}}^1\times {\mathbb {P}}^1$ with two sections blown down

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Twistor spaces are certain compact complex three‐folds with an additional real fibre bundle structure. We focus here on twistor spaces over P2#P2#P2${\mathbb {P}}^2\#{\mathbb {P}}^2\#{\mathbb {P}}^2$. Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles.
Bernd Kreußler, Jan Stevens
wiley   +1 more source

Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space

Proceedings of the London Mathematical Society, Volume 132, Issue 1, January 2026.
Abstract We prove several results on the number of solutions to the asymptotic problem in H3$\mathbb {H}^3$. Firstly, we discuss criteria that ensure uniqueness. Given a Jordan curve Λ$\Lambda$ in the asymptotic boundary of H3$\mathbb {H}^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary Λ$\Lambda$ is equivalent to uniqueness
Zheng Huang, Ben Lowe, Andrea Seppi
wiley   +1 more source

On Convergence of a Family of Random Walks in the Infinite Dimensional Stiefel Manifold

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we study random walks taking values in an infinite‐dimensional space—either a Hilbert space or an infinite‐dimensional manifold embedded in it, such as the Stiefel manifold. These random walks arise in problems in shape theory, particularly when stochastic optimization is applied.
Andrea C. G. Mennucci, Shikha Binwal
wiley   +1 more source

Duality and Some Links Between Riemannian Submersion, F-Harmonicity, and Cohomology

Axioms
Fundamentally, duality gives two different points of view of looking at the same object. It appears in many subjects in mathematics (geometry, algebra, analysis, PDEs, Geometric Measure Theory, etc.) and in physics.
Bang-Yen Chen, Shihshu (Walter) Wei
doaj   +1 more source