Results 11 to 20 of about 6,088 (266)
Submersions of generic submanifolds of a Kaehler manifold
Arab Journal of Mathematical Sciences, 2014 Kobayashi has shown that for the submersion π:M→B of a CR-submanifold of a Kaehler manifold M¯ onto an almost Hermitian manifold B,B is necessarily a Kaehler manifold.
Tanveer Fatima, Shahid Ali
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Communications of the Korean Mathematical Society, 2004 Summary: We studied the relation between the tangential Cauchy-Riemann operator \(\overline \partial _b\) on CR-manifolds and the derivation \(d^{\pi^{0,1}}\) associated to the natural projection map \(\pi^{0,1}:TM \otimes {\mathbb C}=T^{1,0} \oplus T^{0,1} \to T^{0,1}\).
Ryu, Jeong Seog, Yi, Seunghun
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The Neumann problem on the domain in 𝕊3 bounded by the Clifford torus
Advanced Nonlinear Studies, 2023 In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset Ω\Omega of the CR manifold S3{{\mathbb{S}}}^{3} bounded by the Clifford torus Σ\Sigma is discussed.
Case Jeffrey S. +4 more
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On CR-Lightlike Product of an Indefinite Kaehler Manifold
International Journal of Mathematics and Mathematical Sciences, 2011 We have studied mixed foliate CR-lightlike submanifolds and CR-lightlike product of an indefinite Kaehler manifold and also obtained relationship between them.
Rakesh Kumar +2 more
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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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Semi-isometric CR immersions of CR manifolds into Kähler manifolds and applications
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021 Final version, accepted in Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)
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On Generic submanifolds of a locally conformal Kahler manifold with parallel canonical structures
International Journal of Mathematics and Mathematical Sciences, 1995 The study of CR-submanifolds of a Kähler manifold was initiated by Bejancu [1]. Since then many papers have appeared on CR-submanifolds of a Kähler manifold.
M. Hasan shahid, A. Sharfuddin
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Some submersions of CR-hypersurfaces of Kaehler-Einstein manifold
International Journal of Mathematics and Mathematical Sciences, 2003 The Riemannian submersions of a CR-hypersurface M of a Kaehler-Einstein manifold M˜ are studied. If M is an extrinsic CR-hypersurface of M˜, then it is shown that the base space of the submersion is also a Kaehler-Einstein manifold.
Vittorio Mangione
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On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds
Demonstratio Mathematica, 2014 After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold.
Gogna Manish +2 more
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Global Regularity for the ∂-b-Equation on CR Manifolds of Arbitrary Codimension
Abstract and Applied Analysis, 2014 Let M be a C∞ compact CR manifold of CR-codimension l≥1 and CR-dimension n-l in a complex manifold X of complex dimension n≥3. In this paper, assuming that M satisfies condition Y(s) for some s with 1≤s≤n-l-1, we prove an L2-existence theorem and global ...
Shaban Khidr, Osama Abdelkader
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