Results 11 to 20 of about 505 (60)
Submanifolds with nonparallel first normal bundle revisited [PDF]
, 2013 In this paper, we analyze the geometric structure of an Euclidean submanifold whose osculating spaces form a nonconstant family of proper subspaces of the same dimension.
Dajczer, Marcos, Tojeiro, Ruy
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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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Classification results on surfaces in the isotropic 3-space [PDF]
, 2016 The isotropic 3-space I^3 which is one of the Cayley--Klein spaces is obtained from the Euclidean space by substituting the usual Euclidean distance with the isotropic distance. In the present paper, we give several classifications on the surfaces in I^3
Aydin, Muhittin Evren
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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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, 2006 We prove that the associativity equations of two-dimensional topological quantum field theories are very natural reductions of the fundamental nonlinear equations of the theory of submanifolds in pseudo-Euclidean spaces and give a natural class of ...
B. Dubrovin, O. I. Mokhov, O. I. Mokhov
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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
Khan, M. A. +2 more
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