Results 11 to 20 of about 61 (58)
CR‐submanifolds of a locally conformal Kaehler space form
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 511-514, 1994., 1992 (Bejancu [1,2]) The purpose of this paper is to continue the study of CR‐submanifolds, and in particular of those of a locally conformal Kaehler space form (Matsumoto [3]). Some results on the holomorphic sectional curvature, D‐totally geodesic, D1‐totally geodesic and D1‐minimal CR‐submanifolds of locally conformal Kaehler (1.c.k.)‐space from are ...
M. Hasan Shahid
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Mixed foliate CR‐submanifolds in a complex hyperbolic space are non‐proper
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 507-515, 1988., 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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Classification of contact structures associated with the CR-structure of the complex indicatrix
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 By regarding the complex indicatrix as an embedded CR-hypersurface of the holomorphic tangent bundle in a fixed point, we analyze some aspects of the relations between its CR structure and the considered contact structure.
Popovici Elena
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Pseudo‐Sasakian manifolds endowed with a contact conformal connection
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 4, Page 733-747, 1986., 1986 Pseudo‐Sasakian manifolds endowed with a contact conformal connection are defined. It is proved that such manifolds are space forms , K < 0, and some remarkable properties of the Lie algebra of infinitesimal transformations of the principal vector field on are discussed.
Vladislav V. Goldberg, Radu Rosca
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On locally conformal Kähler space forms
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 1, Page 69-74, 1985., 1985 An m‐dimensional locally conformal Kähler manifold (l.c.K‐manifold) is characterized as a Hermitian manifold admitting a global closed l‐form αλ (called the Lee form) whose structure satisfies , where ∇λ denotes the covariant differentiation with respect to the Hermitian metric gμλ, , and the indices ν, μ, …, λ run over the range 1, 2, …, m. For l.
Koji Matsumoto
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On contact CR‐submanifolds of sasakian manifolds
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 2, Page 313-326, 1983., 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]. In this paper, we shall obtain some fundamental properties of contact CR‐submanifolds of a Sasakian manifold.
Koji Matsumoto
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, 2023 English title: On Families of Isoparametric Hypersurfaces in Spherical Spaces of 5 and 9 Dimensions This is an English translation of the article Sur des familles d\u27hypersurfaces isoparamétriques des espaces sphériques à 5 et à 9 dimensions which ...
Cecil, Thomas E.
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Totally Umbilical Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold [PDF]
, 2010 2000 Mathematics Subject Classification: 53C40, 53B25.In the present note we study totally umbilical pseudo-slant submanifolds of a nearly cosymplectic manifold. We have obtained a classification theorem for totally umbilical pseudo-slant submanifolds of
Uddin, Siraj +2 more
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Purity and hybridness of two tensors on a real hypersurface in complex projective space
Open MathematicsOn a real hypersurface MM in complex projective space, we can define two tensor fields of type (1, 2), AF(k){A}_{F}^{\left(k)} and AT(k){A}_{T}^{\left(k)}, associated with the shape operator AA of the real hypersurface, for any nonnull real number kk ...
Pérez Juan de Dios, Pérez-López David
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III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space
Annals of the West University of Timisoara: Mathematics and Computer ScienceSome work has been done in the study of non-geodesic III-harmonic curves in some model spaces. In this paper, we study III-harmonic curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} space. We give necessary and su cient conditions for helices to
Senoussi Bendehiba
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