Publication: Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map
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Springer Science and Business Media LLC
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We give a complete classification of Riemannian and Lorentzian surfaces of arbitrary codimension in a pseudo-sphere whose pseudo-spherical Gauss maps are of 1-type or, in particular, harmonic. In some cases a concrete global classification is obtained, while in other cases the solutions are described by an explicit system of partial differential equations.
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Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Mathematics - Differential Geometry, Science & Technology, Pseudo-sphere, General Mathematics, Global submanifolds, [MATH] Mathematics [math], pseudo-sphere, SUBMANIFOLDS, Pure Mathematics, harmonic map, Finite type map, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, math.DG, finite-type map, Differential Geometry (math.DG), Gauss map, Physical Sciences, Pure mathematics, FOS: Mathematics, Harmonic map, Mathematics