Results 11 to 20 of about 667,453 (193)
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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GEOMETRIC INEQUALITIES FOR CR-SUBMANIFOLDS [PDF]
Facta Universitatis, Series: Mathematics and InformaticsWe study two kinds of curvature invariants of Riemannian manifold equipped with a complex distribution D (for example, a CR-submanifold of an almost Hermitian manifold) related to sets of pairwise orthogonal subspaces of the distribution. One kind of invariant is based on the mutual curvature of the subspaces and another is similar to Chen’s δ ...
Mirjana Djorić, Vladimir Rovenski
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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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Notices of the American Mathematical Society, 2017 Phillip S. Harrington, Andrew Raich
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Radiation therapy response prediction for head and neck cancer using multimodal imaging and multiview dynamic graph autoencoder feature selection. [PDF]
Med PhysAbstract Background External beam radiation therapy is a common treatment for head and neck (H&N) cancers. Radiomic features derived from biomedical images have shown promise as effective biomarkers used to assess tumor heterogeneity and predict response to treatment.
Moslemi A +5 more
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On Contact CR-Submanifold of a Kenmotsu Manifold with Killing Tensor Field
Kragujevac Journal of Mathematics, 2023 The object of this paper is to study the Contact CR-submanifold of a Kenmotsu manifold with the help of a killing tensor field and deduce some results.
Sameer KUMAR PANDEY +1 more
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Counterexample to boundary regularity of a strongly pseudoconvex CR submanifold: An addendum to the paper of Harvey-Lawson [PDF]
, 1998 Clearly for any c, F restricted on the line {v = c} is an embedding outside the two points (0, c) and (1, c). F sends (0, t) and (1, t) to (0, t, 0) for all t. Now take S, which is the boundary of a ball B = { (u, v) ∈ C2 : ∥∥∥(u, v)∥∥∥ ≤ 2}.
H. Luk, S. Yau
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Holomorphic extension of smooth CR-mappings between real-analytic and real-algebraic CR-manifolds [PDF]
, 2001 We establish results on holomorphic extension of CR-mappings of class $C^\infty$ between a real-analytic CR-submanifold of $\C^N$ and a real-algebraic CR-submanifold of $\C^{N'}$
Meylan, F., Mir, N., Zaitsev, D.
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Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds
Karpatsʹkì Matematičnì Publìkacìï, 2018 In the present paper, we study a new class of submanifolds of a generalized Quasi-Sasakian manifold, called skew semi-invariant submanifold. We obtain integrability conditions of the distributions on a skew semi-invariant submanifold and also find the ...
M.D. Siddiqi, A. Haseeb, M. Ahmad
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Submersions of {CR} submanifolds [PDF]
Tohoku Mathematical Journal, 1987 A real submanifold N of a complex Banach manifold V is called a CR submanifold if \(T^ h=TN\cap J(TN)\) is a complex subbundle of the tangent bundle TV; J being the relevant complex structure. Assume V Kähler, let \(T^{\vee}N\) be the orthogonal complement of \(T^ hN\) in TN, \(T^ nN\) be the normal bundle. Assume that J interchanges \(T^{\vee}N\) and \
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