Results 61 to 70 of about 662,217 (166)

Totally umbilical CR-submanifolds of Semi-Riemannian Kaehler manifolds

International Journal of Mathematics and Mathematical Sciences, 1987
We study totally umbilical CR-submanifolds of a Kaehler manifold carrying a semi-Riemannian metric. It is shown that for dimension of the totally real distribution greater than one, these submanifolds are locally decomposable into a complex and a totally
K. L. Duggal, R. Sharma
doaj   +1 more source

Global eigenfamilies on closed manifolds

Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.
Abstract We study globally defined (λ,μ)$(\lambda,\mu)$‐eigenfamilies on closed Riemannian manifolds. Among others, we provide (non‐)existence results for such eigenfamilies, examine topological consequences of the existence of eigenfamilies and classify (λ,μ)$(\lambda,\mu)$‐eigenfamilies on flat tori. It is further shown that for f=f1+if2$f=f_1+i f_2$
Oskar Riedler, Anna Siffert
wiley   +1 more source

CR-submanifolds of a nearly trans-Sasakian manifold

International Journal of Mathematics and Mathematical Sciences, 2002
This paper considers the study of CR-submanifolds of a nearly trans-Sasakian manifold, generalizing the results of trans-Sasakian manifolds and thus those of Sasakian manifolds.
Falleh R. Al-Solamy
doaj   +1 more source

CR$CR$ analysis via local uniform completion, a sharp maximum modulus principle and holomorphic extension

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract Using iterated uniform local completion, we introduce a notion of continuous CR$CR$ functions on locally closed subsets of reduced complex spaces, generalising both holomorphic functions and CR$CR$ functions on CR$CR$ submanifolds. Under additional assumptions of set‐theoretical weak pseudo‐concavity, we prove optimal maximum modulus ...
Mauro Nacinovich, Egmont Porten
wiley   +1 more source

On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds

Demonstratio Mathematica, 2014
After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold.
Gogna Manish, Kumar Rakesh, Nagaich R. K.   +2 more
doaj   +1 more source

Nondensity results in high‐dimensional stable Hamiltonian topology

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We push forward the study of higher dimensional stable Hamiltonian topology by establishing two nondensity results. First, we prove that stable hypersurfaces are not C3$C^3$‐dense in any isotopy class of embedded hypersurfaces on any ambient symplectic manifold of dimension 2n⩾8$2n\geqslant 8$.
Robert Cardona, Fabio Gironella
wiley   +1 more source

Quaternion Statistical Submanifolds and Submersions

Mathematics
This paper aims to develop a general theory of quaternion Kahlerian statistical manifolds and to study quaternion CR-statistical submanifolds in such ambient manifolds.
Aliya Naaz Siddiqui, Fatimah Alghamdi
doaj   +1 more source

Lipschitz decompositions of domains with bilaterally flat boundaries

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study classes of domains in Rd+1,d⩾2$\mathbb {R}^{d+1},\ d \geqslant 2$ with sufficiently flat boundaries that admit a decomposition or covering of bounded overlap by Lipschitz graph domains with controlled total surface area. This study is motivated by the following result proved by Peter Jones as a piece of his proof of the Analyst's ...
Jared Krandel
wiley   +1 more source

Zero‐curvature subconformal structures and dispersionless integrability in dimension five

Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.
Abstract We extend the recent paradigm “Integrability via Geometry” from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to curvature constraints of the background geometry. We observe that in higher dimensions on any solution manifold, the symbol defines a vector distribution equipped ...
Boris Kruglikov, Omid Makhmali
wiley   +1 more source

Chen's problem on mixed foliate CR-submanifolds [PDF]

Bulletin of the Australian Mathematical Society, 1989
We prove that the simply connected compact mixed foliate CR-submanifold in a hyperbolic complex space form is either a complex submanifold or a totally real submanifold. This is the problem posed by Chen.
openaire   +2 more sources