Results 51 to 60 of about 438,929 (192)
CR submanifolds in Kaehler and nearly Kaehler manifolds [PDF]
, 2004 A review of the study of CR, submanifolds within Kaehler and nearly Kaehler manifolds, and the properties of such manifolds with respect submanifold theory in differential geometry.
Gregg, Matthew Thomas
core
GEOMETRIC INEQUALITIES FOR CR-SUBMANIFOLDS
Facta Universitatis, Series: Mathematics and InformaticsWe study two kinds of curvature invariants of Riemannian manifold equipped with a complex distribution D (for example, a CR-submanifold of an almost Hermitian manifold) related to sets of pairwise orthogonal subspaces of the distribution. One kind of invariant is based on the mutual curvature of the subspaces and another is similar to Chen’s δ ...
Mirjana Djorić, Vladimir Rovenski
openaire +2 more sources
Harmonic maps to the circle with higher dimensional singular set
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
wiley +1 more source
On CR‐submanifolds of the six‐dimensional sphere [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 We consider proper CR‐submanifolds of the six‐dimensional sphere S6. We prove that S6 does not admit compact proper CR‐submanifolds with non‐negative sectional curvature and integrable holomorphic distribution.
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Entropy rigidity for cusped Hitchin representations
Journal 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
REAL SUBMANIFOLDS OF MAXIMUM COMPLEX TANGENT SPACE AT A CR SINGULAR POINT, II [PDF]
, 2014 We study a germ of real analytic n-dimensional submanifold of $C^n$ that has a complex tangent space of maximal dimension at a CR singularity. Under the condition that its complexification admits the maximum number of deck transformations, we first ...
Laurent Stolovitch +3 more
core +2 more sources
The cosymplectic Chern–Hamilton conjecture
Journal 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
CR embedded submanifolds of CR manifolds [PDF]
, 2019 The authors develop a complete local theory for CR embedded submanifolds of CR manifolds in a way which parallels the Ricci calculus for Riemannian submanifold theory.
Curry, Sean N, Gover, A Rod
core
Semi-invariant submanifolds of (g, F)-manifolds [PDF]
Surveys in Mathematics and its Applications, 2010 We introduce (g,F)-manifolds and initiate a study of their semi-invariant submanifolds. These submanifolds are generalizations of CR-submanifolds of Kaehler manifolds.
Novac-Claudiu Chiriac
doaj
Proceedings 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