Results 81 to 90 of about 382 (182)

Rigidity of Minimal Legendrian Submanifolds in Sasakian Space Forms

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper is concerned with the study on rigidity of minimal Legendrian submanifolds in Sasakian space forms under some certain geometric conditions, motivated by the classification of minimal Legendrian submanifolds with constant sectional curvature.
Dehe Li, Sicheng Li, Antonio Masiello
wiley   +1 more source

Conformal optimization of eigenvalues on surfaces with symmetries

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
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

On anti-invariant Riemannian submersions whose total manifolds are locally product Riemannian [PDF]

, 2017
In this paper, we study Riemannian, anti-invariant and Lagrangian submersions from locally product Riemannian manifolds onto Riemannian manifolds. We first give a characterization theorem for Riemannian submersions.
Özdemir, Fatma, Tastan, Hakan Mete, Sayar, Cem   +2 more
core   +1 more source

Fat equator effect and minimality in immersions and submersions of the sphere

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract Inspired by the equatorial concentration of measure phenomenon in the sphere, a result which is deduced from the general (and intrinsic), concentration of measure in Sn(1)$\mathbb {S}^n(1)$, we describe in this paper an equatorial concentration of measure satisfied by the closed (compact without boundary), isometric and minimal immersions x:Σm→
Vicent Gimeno i Garcia, Vicente Palmer
wiley   +1 more source

Dual spaces of geodesic currents

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
wiley   +1 more source

Biharmonic Riemannian Submersions from a Three-Dimensional Non-Flat Torus

Mathematics
In this paper, we study Riemannian submersions from a three-dimensional non-flat torus T2×S1 to a surface and their biharmonicity. In local coordinates, a complete characterization of such Riemannian submersions is provided.
Ze-Ping Wang, Hui-Fang Liu
doaj   +1 more source

Some Notes Concerning Riemannian Submersions and Riemannian Homogenous Spaces

International Electronic Journal of Geometry, 2019
This article contains basic material regarding Riemannian submersions of the form \(\pi:G\longrightarrow G/H\), where \(G\) is a Lie group and \(H\) is a closed subgroup and \(G/H\) is endowed with a \(G\)-invariant metric. The particular case where \(G\) possesses a bi-invariant metric and \(G/H\) is naturally reductive is considered.
GÜLBAHAR, Mehmet, KILIÇ, Erol, KELEŞ, Sadık   +2 more
openaire   +4 more sources

Biharmonic Conformal Immersions into a 3-Dimensional Conformally Flat Space

Axioms
This paper investigates biharmonic conformal immersions of surfaces into a conformally flat 3-space. We first establish a characterization of such immersions of totally umbilical surfaces into a generic 3-manifold.
Ze-Ping Wang, Xue-Yi Chen
doaj   +1 more source

Semi-invariant xi(perpendicular to)-Riemannian submersions from almost contact metric manifolds [PDF]

, 2017
WOS: 000399397000010As a generalization of anti-invariant xi(perpendicular to)-Riemannian submersions, we introduce semiinvariant xi(perpendicular to)-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds.
Aksoy, Elif, Sari, Ramazan, Akyol, Mehmet Akif   +2 more
core   +1 more source