Results 41 to 50 of about 441,387 (187)

Geometry of Warped Product CR and Semi-Slant Submanifolds in Quasi-Para-Sasakian Manifolds

International Journal of Analysis and Applications, 2022
In the present paper we study the existence or non-existence of warped product semi-slant submanifolds in quasi-para-Sasakian manifolds and prove that there are no proper warped product semi-slant submanifolds in a quasi-para-Sasakian manifold such that ...
Shamsur Rahman, Abdul Haseeb, Nargis Jamal   +2 more
doaj   +1 more source

CR-hypersurfaces of complex projective space

International Journal of Mathematics and Mathematical Sciences, 1994
We consider compact n-dimensional minimal foliate CR-real submanifolds of a complex projective space. We show that these submanifolds are great circles on a 2-dimensional sphere provided that the square of the length of the second fundamental form is ...
M. A. Bashir
doaj   +1 more source

A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications

Advances in Mathematical Physics, 2021
In the present paper, by considering the Gauss equation in place of the Codazzi equation, we derive new optimal inequality for the second fundamental form of CR-warped product submanifolds into a generalized Sasakian space form.
Yanlin Li, Akram Ali, Rifaqat Ali
doaj   +1 more source

Cohomology of CR-submanifolds [PDF]

Annales 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

Contact CR Submanifolds of maximal Contact CR dimension of Sasakian Space Form

پژوهش‌های ریاضی, 2020
In this paper, we investigate contact CR submanifolds of contact CR dimension in Sasakian space form and introduce the general structure of these submanifolds and then studying structures of this submanifols with the condition  h(FX,Y)+h(X,FY)=g(FX,Y ...
Mohammad Ilmakchi, Esmaiel Abedi
doaj  

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

Fortschritte 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, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

Totally real submanifolds of the nearly kaehler 6-sphere [PDF]

, 1997
Totally real 3-dimensiunal submanifolds of the nearly Kaehler 6-sphere are the main topic of this thesis. Having introduced preliminaries on the theory of complex and almost complex manifolds, the nearly Kaehler structure of S(^6) and the non existence ...
Travlopanos, Fotios
core  

Minimal submanifolds in $\mathbb{R}^4$ with a g.c.K. structure [PDF]

, 2008
summary:In this paper we obtain all invariant, anti-invariant and $CR$ submanifolds in $({\mathbb{R}}^4,g,J)$ endowed with a globally conformal Kähler structure which are minimal and tangent or normal to the Lee vector field of the g.c.K ...
Munteanu, Marian-Ioan
core   +1 more source

Geometry of CR-Slant Warped Products in Nearly Kaehler Manifolds

Mathematics, 2023
Recently, we studied CR-slant warped products B1×fM⊥, where B1=MT×Mθ is the Riemannian product of holomorphic and proper slant submanifolds and M⊥ is a totally real submanifold in a nearly Kaehler manifold. In the continuation, in this paper, we study B2×
Siraj Uddin, Bang-Yen Chen, Rawan Bossly
doaj   +1 more source

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

Proceedings 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, Álvaro Pelayo, Francisco Santos   +2 more
wiley   +1 more source