Results 61 to 70 of about 1,053 (160)
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
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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
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Warped product skew semi-invariant submanifolds of order 1 of a locally product Riemannian manifold
, 2014 We introduce warped product skew semi-invariant submanifolds of order $1$ of a locally product Riemannian manifold. We give a necessary and sufficient condition for skew semi-invariant submanifold of order 1 to be a locally warped product.
Taştan, Hakan Mete
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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
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On the three-dimensional CR-submanifolds of the six-dimensional sphere
International 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
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Skew CR-warped products of Kaehler manifolds [PDF]
, 2010 Warped product CR-submanifolds of Kaehler manifolds were introduced by Chen in [9]. In this paper, we introduce a warped product skew-CR-submanifold, which is a generalization of warped product CR-submanifolds.
Bayram Sahin
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The normal holonomy of CR-submanifolds [PDF]
, 2017 We study the normal holonomy group, i.e. the holonomy group of the normal connection, of a $CR$-submanifold of a complex space form. We show that the normal holonomy group of a coisotropic submanifold acts as the holonomy representation of a Riemannian symmetric space.
DI SCALA, ANTONIO JOSE' +1 more
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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
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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
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On CR-Lightlike Product of an Indefinite Kaehler Manifold
International 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
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