Results 71 to 80 of about 662,217 (166)
MathematicsIn this paper, we investigate contact skew CR-warped product submanifolds of locally conformal almost cosymplectic manifolds, a framework that simultaneously generalizes warped product pseudo-slant, semi-slant, and contact CR-submanifolds.
Ali H. Alkhaldi +3 more
doaj +1 more source
Application of an integral formula to CR-submanifolds of complex hyperbolic space
International Journal of Mathematics and Mathematical Sciences, 2005 The purpose of this paper is to study n-dimensional compact CR-submanifolds of complex hyperbolic space CH(n+p)/2, and especially to characterize geodesic hypersphere in CH(n+1)/2 by an integral formula.
Jin Suk Pak, Hyang Sook Kim
doaj +1 more source
Medical Physics, Volume 51, Issue 10, Page 7545-7560, October 2024.Abstract Background Retrospective studies indicate that radiation damage to left anterior descending coronary artery (LAD) may be critical for late‐stage radiation‐induced cardiac morbidity. Developing a method that accurately depicts LAD motion and perform dose assessment is crucial.
Yongjin Deng +7 more
wiley +1 more source
Three-dimensional CR submanifolds in $S^6(1)$ with umbilical direction normal to $\mathcal{D}_3$
, 2020 It is well known that the sphere $S^6(1)$ admits an almost complex structure $J$ which is nearly K\"{a}hler. A submanifold $M$ of an almost Hermitian manifold is called a CR submanifold if it admits a differentiable almost complex distribution $\mathcal ...
Djordje Kocić, M. Antić
semanticscholar +1 more source
Geometry of Riemannian Maps from Generic Submanifolds of Kähler Manifolds
MathematicsThis paper extends the theory of Riemannian maps to the setting of generic submanifolds of Kähler manifolds. We introduce the notion of holomorphic Riemannian maps from generic submanifolds and establish fundamental relations between the geometric ...
Tanveer Fatima, Ibrahim Al-Dayel
doaj +1 more source
Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface
Communications on Pure and Applied Mathematics, Volume 77, Issue 9, Page 3670-3707, September 2024.Abstract Given any (not necessarily connected) combinatorial finite graph and any compact smooth 6‐manifold M6$M^6$ with the third Betti number b3≠0$b_3\not=0$, we construct a calibrated 3‐dimensional homologically area minimizing surface on M$M$ equipped in a smooth metric g$g$, so that the singular set of the surface is precisely an embedding of this
Zhenhua Liu
wiley +1 more source
The normal holonomy of CR-submanifolds [PDF]
, 2017 We study the normal holonomy group, i.e. the holonomy group of the normal connection, of a $CR$-submanifold of a complex space form. We show that the normal holonomy group of a coisotropic submanifold acts as the holonomy representation of a Riemannian symmetric space.
DI SCALA, ANTONIO JOSE' +1 more
openaire +2 more sources
Valuations, completions, and hyperbolic actions of metabelian groups
Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.Abstract Actions on hyperbolic metric spaces are an important tool for studying groups, and so it is natural, but difficult, to attempt to classify all such actions of a fixed group. In this paper, we build strong connections between hyperbolic geometry and commutative algebra in order to classify the cobounded hyperbolic actions of numerous metabelian
Carolyn R. Abbott +2 more
wiley +1 more source
Stabilization distance bounds from link Floer homology
Journal of Topology, Volume 17, Issue 2, June 2024.Abstract We consider the set of connected surfaces in the 4‐ball with boundary a fixed knot in the 3‐sphere. We define the stabilization distance between two surfaces as the minimal g$g$ such that we can get from one to the other using stabilizations and destabilizations through surfaces of genus at most g$g$.
András Juhász, Ian Zemke
wiley +1 more source