In this note, we shall prove an interesting result.Theorem. Let 2 be a piece of surface without an umbilical point in 3-dimensional constant curvature space M<sup>3</sup>（C） and possess a constant mean c...In this note, we shall prove an interesting result.Theorem. Let 2 be a piece of surface without an umbilical point in 3-dimensional constant curvature space M<sup>3</sup>（C） and possess a constant mean curvature C<sub>1</sub> （C<sub>1</sub>】0）. ∑ can be isometric to a piece of the surface ∑<sup>*</sup> without an umbilical point, ∑<sup>*</sup> owning a constant mean curvature C<sub>2</sub>（C<sub>2</sub>】0 and C<sub>1</sub>≠C<sub>2</sub>） in M<sup>3</sup>（C）展开更多
In this paper, we consider the infinitesimal I- and Il-isometry deformations of submanifolds immersed in a space form N of constant curvature. We obtain some results which are new even in the case of N being the Eucli...In this paper, we consider the infinitesimal I- and Il-isometry deformations of submanifolds immersed in a space form N of constant curvature. We obtain some results which are new even in the case of N being the Euclidean space. At the same time, we generalize some classical results in E-3 Go the submanifolds immersed in a space form of constant curvature.展开更多
In this paper we discuss the infinitesimal I-isometric de formations of surfaces immersed in a space with constant curvature. We obtain a sufficient condition for the de formation vector field to be zero vector field ...In this paper we discuss the infinitesimal I-isometric de formations of surfaces immersed in a space with constant curvature. We obtain a sufficient condition for the de formation vector field to be zero vector field which is generalization of the results in [1] and [2].展开更多
In this paper, minimal submanifolds in Finsler spaces with (α, β)-metrics are studied. Especially, helicoids are also minimal in (α, β)-Minkowski spaces. Then the minimal surfaces of conoid in Finsler spaces with ...In this paper, minimal submanifolds in Finsler spaces with (α, β)-metrics are studied. Especially, helicoids are also minimal in (α, β)-Minkowski spaces. Then the minimal surfaces of conoid in Finsler spaces with (α, β)-metrics are given. Last, the Gauss curvature of the conoid in the 3-dimension Randers-Minkowski space is studied.展开更多
文摘In this note, we shall prove an interesting result.Theorem. Let 2 be a piece of surface without an umbilical point in 3-dimensional constant curvature space M<sup>3</sup>（C） and possess a constant mean curvature C<sub>1</sub> （C<sub>1</sub>】0）. ∑ can be isometric to a piece of the surface ∑<sup>*</sup> without an umbilical point, ∑<sup>*</sup> owning a constant mean curvature C<sub>2</sub>（C<sub>2</sub>】0 and C<sub>1</sub>≠C<sub>2</sub>） in M<sup>3</sup>（C）
文摘In this paper, we consider the infinitesimal I- and Il-isometry deformations of submanifolds immersed in a space form N of constant curvature. We obtain some results which are new even in the case of N being the Euclidean space. At the same time, we generalize some classical results in E-3 Go the submanifolds immersed in a space form of constant curvature.
文摘In this paper we discuss the infinitesimal I-isometric de formations of surfaces immersed in a space with constant curvature. We obtain a sufficient condition for the de formation vector field to be zero vector field which is generalization of the results in [1] and [2].
文摘In this paper, minimal submanifolds in Finsler spaces with (α, β)-metrics are studied. Especially, helicoids are also minimal in (α, β)-Minkowski spaces. Then the minimal surfaces of conoid in Finsler spaces with (α, β)-metrics are given. Last, the Gauss curvature of the conoid in the 3-dimension Randers-Minkowski space is studied.
