Results 1 to 10 of about 441,387 (187)
On CR-submanifolds of the six-dimensional sphere [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 We consider proper CR-submanifolds of the six-dimensional sphere S6. We prove that S6 does not admit compact proper CR-submanifolds with non-negative sectional curvature and integrable holomorphic distribution.
M. A. Bashir
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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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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.
Falleh R. Al-Solamy
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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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An Inequality on Quaternionic CR-Submanifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 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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Some results on the geometry of warped product CR-submanifolds in quasi-Sasakian manifold
Cubo, 2022 The present paper deals with a study of warped product submanifolds of quasi-Sasakian manifolds and warped product CR-submanifolds of quasi-Sasakian manifolds.
Shamsur Rahman
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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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On warped product bi-slant submanifolds of Kenmotsu manifolds [PDF]
Arab Journal of Mathematical Sciences, 2021 Chen (2001) initiated the study of CR-warped product submanifolds in Kaehler manifolds and established a general inequality between an intrinsic invariant (the warping function) and an extrinsic invariant (second fundamental form).
Siraj Uddin, Ion Mihai, Adela Mihai
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