Results 1 to 10 of about 667,453 (193)
Homology groups in CR-warped products of complex space forms [PDF]
HeliyonIn the present paper, by using the result of Lawson-Simons [15], we adopt a different technique to show that there are no stable integral q-currents and a non-trivial homology group in a compact oriented CR-warped product submanifold Nn in a complex ...
Yanlin Li +4 more
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On contact CR-submanifolds of sasakian manifolds [PDF]
International Journal of Mathematics and Mathematical Sciences, 1983 Recently, K.Yano and M.Kon [5] have introduced the notion of a contact CR-submanifold of a Sasakian manifold which is closely similar to the one of a CR-submanifold of a Kaehlerian manifold defined by A. Bejancu [1].
Koji Matsumoto
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Flexible and inflexible $CR$ submanifolds [PDF]
Arkiv för Matematik, 2019 In this paper we prove new embedding results for compactly supported deformations of $CR$ submanifolds of $\mathbb{C}^{n+d}$: We show that if $M$ is a $2$-pseudoconcave $CR$ submanifold of type $(n,d)$ in $\mathbb{C}^{n+d}$, then any compactly supported $
Brinkschulte, Judith, Hill, C. Denson
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Quaternion CR-submanifolds of a quaternion Kaehler manifold [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We study the quaternion CR-submanifolds of a quaternion Kaehler manifold. More specifically we study the properties of the canonical structures and the geometry of the canonical foliations by using the Bott connection and the index of a quaternion CR ...
Bassil J. Papantoniou, M. Hasan Shahid
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Inflexible CR submanifolds [PDF]
Mathematische Zeitschrift, 2016 to appear in Math ...
Brinkschulte, Judith, Denson Hill, C.
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Homology of contact CR-submanifolds
Filomat, 2021 In this paper, homology of a contact CR-submanifold of a real hypersurface, which has naturally almost contact metric structure induced from the complex Euclidean space Cm, is examined. More precisely, nonexistence of stable integral currents on a compact contact CR-submanifold of real hypersurface of canonical complex space form Cm is ...
Sahin, Fulya, Sahin, Bayram
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Kodai Mathematical Journal, 1982 Let \(\bar M\) be a (2m+1)-dimensional Sasakian manifold with structure tensors (φ,ξ,η,g). We consider a Riemannian manifold isometrically immersed in \(\bar M\) with induced metric tensor field g.
Yano, Kentaro, Kon, Masahiro
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Flatness of CR submanifolds in a sphere [PDF]
Science China Mathematics, 2010 Let $M$ be the image of a smooth CR embedding of a strictly pseudoconvex CR real hypersurface into a sphere. If the CR second fundamental form of $M$ vanishes, we show that $M$ is a totally geodesic submanifold.
Ji, Shanyu, Yuan, Yuan
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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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Ricci Curvature Inequalities for Skew CR-Warped Product Submanifolds in Complex Space Forms
Mathematics, 2020 The fundamental goal of this study was to achieve the Ricci curvature inequalities for a skew CR-warped product (SCR W-P) submanifold isometrically immersed in a complex space form (CSF) in the expressions of the squared norm of mean curvature vector and
Meraj Ali Khan, Ibrahim Aldayel
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