Results 41 to 50 of about 596,403 (183)
Submanifolds with curvature normals of constant length and the Gauss map [PDF]
, 2004 We show that a submanifold with curvature normal of constant length has constant principal curvatures under suitable global hypothesis.
A. J. Di Scala +3 more
core +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
Crystal Anisotropy Implications on the Magneto‐Optical Properties of van der Waals FePS3
Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.Crystal anisotropy in FePS3 due to a distorted FeS6 octahedron results in significant changes in its electronic and optical transitions. For the first time, four emission transitions are revealed with both linear and circular polarization responses down to the monolayer.
Ellenor Geraffy +12 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
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
Simple homotopy theory for Fukaya categories
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley +1 more source
On totally umbilical CR-submanifolds of a Kaehler manifold
International Journal of Mathematics and Mathematical Sciences, 1993 Let M be a compact 3-dimensional totally umbilical CR-submanifold of a Kaehler manifold of positive holomorphic sectional curvature. We prove that if the length of the mean curvature vector of M does not vanish, then M is either diffeomorphic to S3 or ...
M. A. Bashir
doaj +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
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source