Results 91 to 100 of about 7,649 (232)

Deformations of Cayley submanifolds

open access: yes, 2016
Cayley submanifolds of R^8 were introduced by Harvey and Lawson as an instance of calibrated submanifolds, extending the volume-minimising properties of complex submanifolds in Kähler manifolds.

core   +1 more source

Semi-invariant submanifolds of (g, F)-manifolds [PDF]

open access: yesSurveys 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  

Some Remarks on Quasi-Generalized CR-Null Geometry in Indefinite Nearly Cosymplectic Manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2016
Attention is drawn to some distributions on ascreen Quasi-Generalized Cauchy-Riemannian (QGCR) null submanifolds in an indefinite nearly cosymplectic manifold. We characterize totally umbilical and irrotational ascreen QGCR-null submanifolds.
Fortuné Massamba, Samuel Ssekajja
doaj   +1 more source

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

open access: yesFortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form [PDF]

open access: yes, 2016
summary:We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvature and the squared mean curvature for semi-invariant, almost semi-invariant, $\theta $-slant, invariant and anti-invariant submanifolds tangent to the ...
Abedi, Esmaeil   +2 more
core   +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

H-Umbilical Lagrangian Submanifolds of the Nearly Kähler \( {\mathbb{S}^3\times\mathbb{S}^3} \)

open access: yesMathematics, 2020
H-umbilicity was introduced as an analogue of total umbilicity for Lagrangian submanifolds since, in some relevant cases, totally umbilical Lagrangian submanifolds are automatically totally geodesic. In this paper, we show that, in the homogeneous nearly
Miroslava Antić   +2 more
doaj   +1 more source

On the sectional curvature of lightlike submanifolds

open access: yesJournal of Inequalities and Applications, 2016
The main purpose of this paper is to show how to obtain rigidity theorems with the help of curvature invariants in submanifolds of a semi-Riemannian manifold.
Erol Kılıç, Mehmet Gülbahar
doaj   +1 more source

Graded lagrangian submanifolds [PDF]

open access: yesBulletin de la Société mathématique de France, 2000
LaTex2e, 32 pages, one eps ...
openaire   +3 more sources

ON THE GEOMETRY OF PARACOMPLEX SUBMANIFOLDS

open access: yesDemonstratio Mathematica, 2001
The paracomplex submanifolds \(M\) in an almost parahermitian manifold (\(\overline M,\overline J,\overline g)\) with \(\overline J^2=I\), \(\overline g(X,\overline JY)+\overline g(\overline JX,Y)=0\) are characterized by \(\overline J(T_xM)=T_xM\) [see \textit{V. Cruceanu}, \textit{P. Fortuny} and \textit{P. M. Gradea} in Rocky Mt. J. Math. 26, 83-115
Al-Aqeel, Adnan, Bejancu, Aurel
openaire   +2 more sources

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