Results 51 to 60 of about 596,403 (183)

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  

Vanishing Homology of Warped Product Submanifolds in Complex Space Forms and Applications

Mathematics, 2022
In this paper, we prove the nonexistence of stable integral currents in compact oriented warped product pointwise semi-slant submanifold Mn of a complex space form M˜(4ϵ) under extrinsic conditions which involve the Laplacian, the squared norm gradient ...
Ali H. Alkhaldi, Pişcoran Laurian-Ioan, Izhar Ahmad, Akram Ali   +3 more
doaj   +1 more source

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

Classification of Four-Dimensional CR Submanifolds of the Homogenous Nearly Kähler ${\mathbb{S}}^{\mathbf{3}}\mathbf{\times }{\mathbb{S}}^{\mathbf{3}}$ Which Almost Complex Distribution Is Almost Product Orthogonal on Itself

Mathematics
The product manifold S3×S3, which belongs to the homogenous six-dimensional nearly Kähler manifolds, admits two structures, the almost complex structure J and the almost product structure P.
Nataša Djurdjević
doaj   +1 more source

Chen optimal inequalities of CR-warped products of generalized Sasakian space form

Journal of Taibah University for Science, 2020
Our main objective of this paper is to derive the relationship between the main extrinsic invariant, and the contact CR δ-invariant (new intrinsic invariant) on a generic submanifold in trans-Sasakian generalized Sasakian space forms.
Aliya Naaz Siddiqui, Akram Ali, Ali H. Alkhaldi   +2 more
doaj   +1 more source

On the Topology of Warped Product Pointwise Semi-Slant Submanifolds with Positive Curvature

Mathematics, 2021
In this paper, we obtain some topological characterizations for the warping function of a warped product pointwise semi-slant submanifold of the form Ωn=NTl×fNϕk in a complex projective space CP2m(4).
Yanlin Li, Ali H. Alkhaldi, Akram Ali, Pişcoran Laurian-Ioan   +3 more
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

Four-Dimensional CR Submanifolds of the Homogeneous Nearly Kähler Product Manifold ${\mathbb{S}}^3\times {\mathbb{S}}^3$

Mathematics
This article presents results on four-dimensional CR submanifolds of the homogeneous nearly Kähler product manifold S3×S3. In the research of CR submanifolds of S3×S3, the most important role in the classification is played by the action of the almost ...
Nataša Djurdjević
doaj   +1 more source

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 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
doaj   +1 more source