Results 21 to 30 of about 485 (38)
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
, 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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The Clifford torus as a self-shrinker for the Lagrangian mean curvature flow
, 2012 We provide several rigidity results for the Clifford torus in the class of compact self-shrinkers for Lagrangian mean curvature flow.Comment: 10 ...
Abresch +24 more
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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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Complex product manifolds cannot be negatively curved
, 2008 We show that if $M = X \times Y$ is the product of two complex manifolds (of positive dimensions), then $M$ does not admit any complete K\"ahler metric with bisectional curvature bounded between two negative constants.
Seshadri, Harish, Zheng, Fangyang
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Biharmonic C-parallel Legendrian submanifolds in 7-dimensional Sasakian space forms
, 2016 This paper corrects the classification result for biharmonic C-parallel Legendrian submanifolds presented by D. Fetcu and C. Oniciuc in [Tohoku Math. J.
Sasahara, Toru
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