Results 41 to 50 of about 667,453 (193)

Ruled CR-submanifolds of locally conformal K\"{a}hler manifolds

open access: yes, 2012
The purpose of this paper is to study the canonical totally real foliations of CR-submanifolds in a locally conformal K\"{a}hler manifold.Comment: 10 pages, Journal of Geometry and Physics (to ...
Barletta   +25 more
core   +1 more source

On Generic submanifolds of a locally conformal Kahler manifold with parallel canonical structures

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
The study of CR-submanifolds of a Kähler manifold was initiated by Bejancu [1]. Since then many papers have appeared on CR-submanifolds of a Kähler manifold.
M. Hasan shahid, A. Sharfuddin
doaj   +1 more source

A normal form for a real 2-codimensional submanifold in $\mathbb{C}^{N+1}$ near a CR singularity [PDF]

open access: yes, 2011
We construct a formal normal form for a real 2-codimensional submanifold M\subset\mathbb{C}^{N+1} near a CR singularity approximating the sphere. This result gives a higher dimensional extension of Huang-Yin's normal form in \mathbb{C}^{2}.
Valentin Burcea
semanticscholar   +1 more source

A note on CR mappings of positive codimension

open access: yes, 2010
We prove the following Artin type approximation theorem for smooth CR mappings: given M a connected real-analytic CR submanifold in C^N that is minimal at some point, M' a real-analytic subset of C^N', and H:M->M' a smooth CR mapping, there exists a ...
Sunyé, Jean-charles
core   +2 more sources

Cohomology of CR-submanifolds [PDF]

open access: yesAnnales de la Faculté des sciences de Toulouse : Mathématiques, 1981
© Universite Paul Sabatier, 1981, tous droits reserves. L’acces aux archives de la revue « Annales de la faculte des sciences de Toulouse » (http://picard.ups-tlse.fr/∼annales/), implique l’accord avec les conditions generales d’utilisation (http://www.numdam.org/legal.php).
openaire   +1 more source

Classification of Warped Product Submanifolds in Kenmotsu Space Forms Admitting Gradient Ricci Solitons

open access: yesMathematics, 2019
The purpose of this article is to obtain geometric conditions in terms of gradient Ricci curvature, both necessary and sufficient, for a warped product semi-slant in a Kenmotsu space form, to be either CR-warped product or simply a Riemannian product ...
Ali H. Alkhaldi, Akram Ali
doaj   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

open access: yesFortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré   +4 more
wiley   +1 more source

Totally umbilical CR-submanifolds of Semi-Riemannian Kaehler manifolds

open access: yesInternational 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

A Codimension Two CR Singular Submanifold That Is Formally Equivalent to a Symmetric Quadric [PDF]

open access: yes, 2008
Let () be a real analytic submanifold defined by an equation of the form: w=| z| 2 + O(| z| 3 ), where we use for the coordinates of . We first derive a pseudonormal form for M near 0.
Xiaojun Huang, W. Yin
semanticscholar   +1 more source

Ewald's Conjecture and integer points in algebraic and symplectic toric geometry

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We solve several open problems concerning integer points of reflexive smooth polytopes, also known as monotone polytopes. While the paper belongs to the realm of discrete geometry, the connection with symplectic and algebraic geometry appears naturally since these polytopes have an important role in both areas.
Luis Crespo   +2 more
wiley   +1 more source

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