Lagrangian H-Umbilical Surfaces in Complex Lorentzian Plane
نویسندگان
چکیده
We completely classify Lagrangian H-umbilical Surfaces with λ = 2μ in Complex Lorentzian Plane C1.
منابع مشابه
Isotropic Lagrangian Submanifolds in Complex Space Forms
In this paper we study isotropic Lagrangian submanifolds , in complex space forms . It is shown that they are either totally geodesic or minimal in the complex projective space , if . When , they are either totally geodesic or minimal in . We also give a classification of semi-parallel Lagrangian H-umbilical submanifolds.
متن کاملComplex Extensors and Lagrangian Submanifolds in Complex Euclidean Spaces
Lagrangian //-umbilical submanifolds are the "simplest" Lagrangian submanifolds next to totally geodesic ones in complex-space-forms. The class of Lagrangian //-umbilical submanifolds in complex Euclidean spaces includes Whitney's spheres and Lagrangian pseudo-spheres. For each submanifold M of Euclidean «-space and each unit speed curve F in the complex plane, we introduce the notion of the co...
متن کاملContributions to differential geometry of spacelike curves in Lorentzian plane L2
In this work, first the differential equation characterizing position vector of spacelike curve is obtained in Lorentzian plane $mathbb{L}^{2}.$ Then the special curves mentioned above are studied in Lorentzian plane $mathbb{L}%^{2}.$ Finally some characterizations of these special curves are given in $mathbb{L}^{2}.$
متن کاملHamiltonian Stability and Index of Minimal Lagrangian Surfaces of the Complex Projective Plane
We show that the Clifford torus and the totally geodesic real projective plane RP in the complex projective plane CP are the unique Hamiltonian stable minimal Lagrangian compact surfaces of CP with genus g ≤ 4, when the surface is orientable, and with Euler characteristic χ ≥ −1, when the surface is nonorientable. Also we characterize RP in CP as the least possible index minimal Lagrangian comp...
متن کاملLagrangian surfaces with circular ellipse of curvature in complex space forms
We classify the Lagrangian orientable surfaces in complex space forms with the property that the ellipse of curvature is always a circle. As a consequence, we obtain new characterizations of the Clifford torus in the complex projective plane and of the Whitney spheres in the complex projective, complex Euclidean and complex hyperbolic planes. MSC 2000: 53C42, 53C40.
متن کامل