Results 81 to 90 of about 1,053 (160)

Quaternion Statistical Submanifolds and Submersions

Mathematics
This paper aims to develop a general theory of quaternion Kahlerian statistical manifolds and to study quaternion CR-statistical submanifolds in such ambient manifolds.
Aliya Naaz Siddiqui, Fatimah Alghamdi
doaj   +1 more source

Nondensity results in high‐dimensional stable Hamiltonian topology

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We push forward the study of higher dimensional stable Hamiltonian topology by establishing two nondensity results. First, we prove that stable hypersurfaces are not C3$C^3$‐dense in any isotopy class of embedded hypersurfaces on any ambient symplectic manifold of dimension 2n⩾8$2n\geqslant 8$.
Robert Cardona, Fabio Gironella
wiley   +1 more source

Geometry of Riemannian Maps from Generic Submanifolds of Kähler Manifolds

Mathematics
This 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

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

Lipschitz decompositions of domains with bilaterally flat boundaries

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study classes of domains in Rd+1,d⩾2$\mathbb {R}^{d+1},\ d \geqslant 2$ with sufficiently flat boundaries that admit a decomposition or covering of bounded overlap by Lipschitz graph domains with controlled total surface area. This study is motivated by the following result proved by Peter Jones as a piece of his proof of the Analyst's ...
Jared Krandel
wiley   +1 more source

Zero‐curvature subconformal structures and dispersionless integrability in dimension five

Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.
Abstract We extend the recent paradigm “Integrability via Geometry” from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to curvature constraints of the background geometry. We observe that in higher dimensions on any solution manifold, the symbol defines a vector distribution equipped ...
Boris Kruglikov, Omid Makhmali
wiley   +1 more source

A generalized model of cardiac surface motion for evaluating left anterior descending coronary artery dose in left breast cancer radiotherapy

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, Minmin Qiu, Yangchan Li, Chaoyang Wang, Jiajian Zhong, Zhenhua Xiao, Chengtao Wang, Ruiwan Chen   +7 more
wiley   +1 more source

Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold

International Journal of Mathematics and Mathematical Sciences, 1984
It is proved that any co-isotropic submanifold M of a pseudo-Sasakian manifold M˜(U,ξ,η˜,g˜) is a CR submanifold (such submanfolds are called CICR submanifolds) with involutive vertical distribution ν1.
Vladislav V. Goldberg, Radu Rosca
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