Three real hypersurfaces some of whose geodesics are mapped to circles with the same curvature in a nonflat complex space form

Okumura K.; Maeda S.

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Three real hypersurfaces some of whose geodesics are mapped to circles with the same curvature in a nonflat complex space form

机译：三个真实的超曲面，其中一些测地线以非平坦的复杂空间形式映射到具有相同曲率的圆

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摘要

We characterize all totally η-umbilic hypersurfaces and ruled real hypersurfaces in nonflat complex space forms and certain real hypersurfaces of type (A_2) in complex projective spaces by using the property that some of their geodesics are mapped to circles of the same curvature in these ambient spaces.

机译：我们利用某些测地线映射到这些环境中相同曲率的圆的性质，来表征非平面复杂空间形式中的所有完全η脐超曲面和规则实超曲面以及复投影空间中某些类型（A_2）的某些实超曲面空格。

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《Geometriae Dedicata》 |2012年第null期|共10页
作者
Okumura K.; Maeda S.;
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正文语种 eng
中图分类几何、拓扑;
关键词
Circles; Extrinsic geodesics; Geodesics; Hypersurfaces of type (A_1); Nonflat complex space forms; Normal curvature; Real hypersurfaces; Ruled real hypersurfaces; Structure torsion; Totally η-umbilic hypersurfaces;

机译：圆;外在测地线;测地学;（A_1）型超曲面;非平面复杂空间形式;正曲率;实超曲面;有规则的实超曲面;结构扭转;完全η-脐超曲面;

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专利

1. Three real hypersurfaces some of whose geodesics are mapped to circles with the same curvature in a nonflat complex space form [J] . Okumura K., Maeda S. Geometriae Dedicata . 2012,第Null期

机译：三个真实的超曲面，其中一些测地线以非平坦的复杂空间形式映射到具有相同曲率的圆
2. Real hypersurfaces some of whose geodesics are plane curves in nonflat complex space forms [J] . Adachi T, Kimura M, Maeda S Tohoku mathematical journal . 2005,第2期

机译：实超曲面，其中某些测地线是非平坦复杂空间形式的平面曲线
3. CURVATURE PROPERTIES OF HOMOGENEOUS REAL HYPERSURFACES IN NONFLAT COMPLEX SPACE FORMS [J] . Maeda Sadahiro, Tamaru Hiroshi, Tanabe Hiromasa Kodai Mathematical Journal . 2018,第2期

机译：非流动复杂空间形式均匀真实超裂缝的曲率特性
4. HERMITIAN-LIKE CURVATURES OF THE FOUR BASIC CLASSES OF REAL HYPERSURFACES OF A COMPLEX SPACE FORM [C] . Milen Hristov International Workshop on Complex Structures and Vector Fields . 2003

机译：隐藏曲率的四个基本类别的真实超大迹象的复杂空间形式
5. Invariants of transformation groups acting on real hypersurfaces of complex spaces. [D] . Hammond, Christopher L. 2009

机译：作用于复杂空间的实际超曲面的变换组的不变量。
6. Geodesic curvature driven surface microdomain formation [O] . Melissa R. Adkins, Y. C. Zhou -1

机译：测地曲率驱动的表面微区形成
7. Real hypersurfaces in nonflat complex space forms are irreducible [O] . Chen Bang-Yen, Maeda Sadahiro 2014

机译：非平坦复杂空间形式的实际超曲面是不可约的

Three real hypersurfaces some of whose geodesics are mapped to circles with the same curvature in a nonflat complex space form

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