Finite Type Minimal 2-Spheres in a Complex Projective Space
نویسندگان
چکیده
منابع مشابه
Pseudo Ricci symmetric real hypersurfaces of a complex projective space
Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
متن کاملWillmore Spheres in Quaternionic Projective Space
The Willmore energy for Frenet curves in quaternionic projective space HP is the generalization of the Willmore functional for immersions into S. Critical points of the Willmore energy are called Willmore curves in HP. Using a Bäcklund transformation on Willmore curves, we generalize Bryant’s result on Willmore spheres in 3–space: a Willmore sphere in HP has integer Willmore energy, and is give...
متن کاملRuled Minimal Lagrangian Submanifolds of Complex Projective 3-space
We show how a ruled minimal Lagrangian submanifold of complex projective 3-space may be used to construct two related minimal surfaces in the 5-sphere.
متن کاملpseudo ricci symmetric real hypersurfaces of a complex projective space
pseudo ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo ricci symmetric real hypersurfaces of the complex projective space cpn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
متن کاملMinimal Surfaces in a Complex Projective Space Whose Mean Curvature Vectors Are Eigenvectors
B.Y. Chen Null 2-type surfaces in Euclidean space, Algebra, Analysis and Geometry, Taipei, World Scientiic 1989, 1-18] initiated the study of submanifolds whose mean curvature vector H is an eigenvector of the Laplacian. In this article, we study this problem for minimal surfaces in CP n. Two classiication theorems are obtained.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 1994
ISSN: 0387-3870
DOI: 10.3836/tjm/1270128188