Slant Surfaces with Prescribed Gaussian Curvature
نویسندگان
چکیده
A slant immersion was introduced in [2] as an isometric immersion of a Riemannian manifold into an almost Hermitian manifold (M̃, g, J) with constant Wirtinger angle. From J-action point of view, the most natural surfaces in an almost Hermitian manifold are slant surfaces. Flat slant surfaces in complex space forms have been studied in [3, 4]. In this article, we study slant surfaces in complex space forms with arbitrary Gauss curvature. In particular, we prove that, for any θ ∈ (0, 2 ], there exist infinitely many θ-slant surfaces in complex projective plane and in complex hyperbolic plane with prescribed Gaussian curvature. Mathematics Subject Classifications 2000: 53C40, 53C42, 53B25
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