Results 61 to 70 of about 441,387 (187)

Entropy rigidity for cusped Hitchin representations

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary   +2 more
wiley   +1 more source

Four-Dimensional CR Submanifolds of the Homogeneous Nearly Kähler Product Manifold S3×S3

open access: yesMathematics
This article presents results on four-dimensional CR submanifolds of the homogeneous nearly Kähler product manifold S3×S3. In the research of CR submanifolds of S3×S3, the most important role in the classification is played by the action of the almost ...
Nataša Djurdjević
doaj   +1 more source

The cosymplectic Chern–Hamilton conjecture

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract In this paper, we study the Chern–Hamilton energy functional on compact cosymplectic manifolds, fully classifying in dimension 3 those manifolds admitting a critical compatible metric for this functional. This is the case if and only if either the manifold is co‐Kähler or if it is a mapping torus of the 2‐torus by a hyperbolic toral ...
Søren Dyhr   +3 more
wiley   +1 more source

A Berger type normal holonomy theorem for complex submanifolds [PDF]

open access: yes, 2010
We prove a kind of Berger-Simons' Theorem for the normal holonomy group of a complex submanifold of the projective ...
Antonio J. Di Scala   +5 more
core   +1 more source

On the three-dimensional CR-submanifolds of the six-dimensional sphere

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
We show that the six-dimensional sphere does not admit three-dimensionel totally umbilical proper CR-submanifolds.
M. A. Bashir
doaj   +1 more source

Boundary spike‐layer solutions of the multi‐dimensional singular Keller–Segel system: Existence, profiles and stability

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.
Abstract This paper investigates boundary‐layer solutions of the singular Keller–Segel system (proposed in Keller and Segel [J. Theor. Biol. 30 (1971), 377–380]) in multi‐dimensional domains, which describes cells' chemotactic movement toward the concentration gradient of the nutrient they consume, subject to a zero‐flux boundary condition for the cell
Jose A. Carrillo   +3 more
wiley   +1 more source

Reducibility of complex submanifolds of the complex euclidean spaces [PDF]

open access: yes, 2000
Let M be a simply connected complex submanifold of CN. We prove that M is irreducible, up a totally geodesic factor,if and only if the normal holonomy group acts irreducibly.
Di Scala, Antonio Jose'
core   +1 more source

The GJMS operators in geometry, analysis and physics

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley   +1 more source

On CR-Lightlike Product of an Indefinite Kaehler Manifold

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
We have studied mixed foliate CR-lightlike submanifolds and CR-lightlike product of an indefinite Kaehler manifold and also obtained relationship between them.
Rakesh Kumar   +2 more
doaj   +1 more source

Hausdorff dimension of unions of k$k$‐planes

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract We prove a conjecture of R. Oberlin and Héra on the dimension of unions of k$k$‐planes. Let 0
Shengwen Gan
wiley   +1 more source

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