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Trajectories on Geodesic Spheres in a Non-Flat Complex Space Form

Journal of Geometry, 2008
In this paper we study some basic properties of trajectories for canonical magnetic fields induced by structure tensor on real hypersurfaces of types A0 and A1 in a complex space form. On each such real hypersurface, there are infinitely many canonical magnetic fields whose trajectories with null structure torsion are closed, and also infinitely many ...
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Purely Real Surfaces in Non-Flat Complex Space Forms Satisfying a Basic Equality

Results in Mathematics, 2009
An isometric immersion $$\phi : M \rightarrow \tilde{M}$$ of a manifold M into a Kahler manifold is called purely real if the complex structure J on $$\tilde{M}$$ carries ...
Bang-Yen Chen, Adela Mihai, Ion Mihai
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LIE -DERIVATIVE OF STRUCTURE TENSOR FIELD ON REAL HYPERSURFACES IN A NON-FLAT COMPLEX SPACE FORM

JP Journal of Geometry and Topology
In this paper, we characterize a real hypersurface in a non-flat complex space form whose structure tensor field and the Lie derivative in the direction of the Reeb vector field either commute or anti-commute.
Lim, Dong Ho, Kim, Hoonjoo
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Real hypersurfaces of non-flat complex space forms with two generalized conditions on the Jacobi structure operator

Advances in Geometry, 2021
Abstract We aim to classify the real hypersurfaces M in a Kaehler complex space form Mn (c) satisfying the two conditions φ l =
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REAL HYPERSURFACES OF NON-FLAT COMPLEX SPACE FORMS WITH GENERALIZED ξ-PARALLEL JACOBI STRUCTURE OPERATOR

Glasgow Mathematical Journal, 2015
AbstractThe aim of the present paper is the classification of real hypersurfaces M equipped with the condition Al = lA, l = R(., ξ)ξ, restricted in a subspace of the tangent space TpM of M at a point p. This class is large and difficult to classify, therefore a second condition is imposed: (∇ξl)X = ω(X)ξ + ψ(X)lX, where ω(X), ψ(X) are 1-forms. The last
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A Classification of Three-dimensional Real Hypersurfaces in Non-flat Complex Space Forms in Terms of their Generalized Tanaka–Webster Lie Derivative

Canadian Mathematical Bulletin, 2016
AbstractOn a real hypersurfaceMin a non-flat complex space form there exist the Levi–Civita and thek-th generalized Tanaka–Webster connections. The aim of this paper is to study three dimensional real hypersurfaces in non-flat complex space forms, whose Lie derivative of the structure Jacobi operatorwith respect to the Levi–Civita connection coincides ...
George Kaimakamis   +2 more
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Conformally flat, minimal, Lagrangian submanifolds in complex space forms

Science China Mathematics, 2022
Miroslava Antic, Luc Vrancken
exaly  

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