Results 11 to 20 of about 596,403 (183)

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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Ideal CR submanifolds in non-flat complex space forms [PDF]

Journal of Differential Geometry, 2014
summary:An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds.
Sasahara, Toru
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CR submanifolds of a Kaehler manifold. II [PDF]

Transactions of the American Mathematical Society, 1979
The differential geometry of CR submanifolds of a Kaehler manifold is studied. Theorems on parallel normal sections and on a special type of flatness of the normal connection on a CR submanifold are obtained.
Aurel Bejancu
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Geometric inequalities for CR-submanifolds [PDF]

Facta Universitatis, Series: Mathematics and Informatics
We study two kinds of curvature invariants of Riemannian manifold equip\-ped 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
Djorić, Mirjana, Rovenski, Vladimir
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On normal CR-submanifolds of S-manifolds [PDF]

Colloquium Mathematicum, 1993
Many authors have studied the geometry of submanifolds of Kaehlerian and Sasakian manifolds. On the other hand, David E. Blair has initiated the study of S-manifolds, which reduce, in particular cases, to Sasakian manifolds ([1, 2]). I. Mihai ([8]) and L.
Fernández, Manuel, Cabrerizo, José, Fernández, Luis   +2 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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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

Mixed foliate CR-submanifolds in a complex hyperbolic space are non-proper [PDF]

International Journal of Mathematics and Mathematical Sciences, 1988
It was conjectured in [1 II] (also in [2]) that mixed foliate CR-submanifolds in a complex hyperbolic space are either complex submanifolds or totally real submanifolds. In this paper we give an affirmative solution to this conjecture.
Bang-Yen Chen, Bao-Qiang Wu
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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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