Results 61 to 70 of about 121 (118)
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
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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
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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
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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
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On Warped Product Pointwise Pseudo-Slant Submanifolds of LCK-Manifolds and Their Applications
AxiomsThe concept of pointwise slant submanifolds of a Kähler manifold was presented by Chen and Garay. This research extends this notion to a more general setting, specifically in a locally conformal Kähler manifold. We study the pointwise pseudo-slant warped
Fatimah Alghamdi
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CR‐submanifolds of a nearly trans‐Sasakian manifold [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 This paper considers the study of CR‐submanifolds of a nearly trans‐Sasakian manifold, generalizing the results of trans‐Sasakian manifolds and thus those of Sasakian manifolds.
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TOTALLY UMBILICAL CR-SUBMANIFOLDS OF A KAEHLER MANIFOLD
Tamkang Journal of Mathematics, 1993 In the present paper we study totally umbilical CR-submanifolds of a Kaehler manifold. A classification theorem for a $D^\perp$-totally umbilical CR-submanifold is proved. The conditions under which a CR- submanifold becomes a CR-product are obtained, and finally a theorem for a CR-submanifold to be a proper CR-product is also ...
Khursheed Haider, S. M. +2 more
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CR-submanifolds of Lorentzian manifolds
, 2009 This paper is about the talk given in the VIth Geometry Symposium in Bursa, Turkey, on July 2008. We present the notion of CR-submanifolds of a Lorentzian almost contact manifold, study their principal characteristics and the particular cases in which the manifold is Lorentzian Sasakian manifold or a Lorentzian Sasakian space form.
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CR-submanifolds. A class of examples
, 2005 I present a class of examples of \CR-submanifolds of manifolds endowed with different structures, obtained as level sets of momentum maps associated to specific Hamiltonian actions.
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