Results 11 to 20 of about 1,053 (160)
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
doaj +2 more sources
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
core +3 more sources
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
doaj +2 more sources
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
doaj +3 more sources
Open Mathematics, 2010 In this paper we introduce paraquaternionic CR-submanifolds of almost paraquaternionic hermitian manifolds and state some basic results on their differential geometry.
Ianuş Stere +2 more
doaj +2 more sources
Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds
Bulletin of Mathematical Sciences, 2017 In this paper, we study semi-slant submanifolds and their warped products in Kenmotsu manifolds. The existence of such warped products in Kenmotsu manifolds is shown by an example and a characterization.
Siraj Uddin
doaj +3 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +1 more source
Inflexible CR submanifolds [PDF]
Mathematische Zeitschrift, 2016 to appear in Math ...
Brinkschulte, Judith, Denson Hill, C.
openaire +2 more sources