Results 71 to 80 of about 667,453 (193)

CR-hypersurfaces of the six-dimensional sphere

International Journal of Mathematics and Mathematical Sciences, 1994
We proved that there does not exist a proper CR-hypersurface of S6 with parallel second fundamental form. As a result of this we showed that S6 does not admit a proper CR-totally umbilical hypersurface.
M. A. Bashir
doaj   +1 more source

Skew CR-warped products of Kaehler manifolds [PDF]

, 2010
Warped product CR-submanifolds of Kaehler manifolds were introduced by Chen in [9]. In this paper, we introduce a warped product skew-CR-submanifold, which is a generalization of warped product CR-submanifolds.
Bayram Sahin
core   +1 more source

On CR-lightlike submanifolds in a golden semi-Riemannian manifold

AIMS Mathematics
CR-lightlike submanifolds of a golden semi-Riemannian manifold are the focus of the research presented in this work, which aims to define and investigate these structures. Under the context of a golden semi-Riemannian manifold, we study the properties of
Mohammad Aamir Qayyoom, Rawan Bossly, Mobin Ahmad   +2 more
semanticscholar   +1 more source

CR$CR$ analysis via local uniform completion, a sharp maximum modulus principle and holomorphic extension

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract Using iterated uniform local completion, we introduce a notion of continuous CR$CR$ functions on locally closed subsets of reduced complex spaces, generalising both holomorphic functions and CR$CR$ functions on CR$CR$ submanifolds. Under additional assumptions of set‐theoretical weak pseudo‐concavity, we prove optimal maximum modulus ...
Mauro Nacinovich, Egmont Porten
wiley   +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

Quasi Yamabe solitons on CR submanifolds of maximal CR dimension in K\"ahler manifolds

International Electronic Journal of Geometry
In this paper we give necessary and sufficient conditions for a CR submanifold of maximal CR dimension in arbitrary K\"{a}hler manifold to admit (quasi-)Yamabe structure, with naturally chosen soliton vector field. When the ambient manifold is a non-flat
Milos B. Djoric, M. Djorić
semanticscholar   +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

An Inequality on Quaternionic CR-Submanifolds

Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2018
Abstract We establish an inequality for an intrinsic invariant of Chen-type defined on quaternionic CR -submanifolds in quaternionic space forms, in terms of the squared mean curvature, the main extrinsic invariant, by using the method of constrained extrema.
Macsim Gabriel, Mihai Adela
openaire   +2 more sources

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