Lagrangian H-umbilical submanifolds in quaternion Euclidean spaces

2003/11/05 by Yun Myung Oh, Oh, Yun Myung, Joon Hyuk Kang +1
Mathematics · #53C40 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C40

paper · pdf · doi:10.48550/arxiv.math/0311065

arxiv created 2003/11/05 · arxiv updated 2009/12/01

Abstract

The authors obtained the classification theorem for Lagrangian H-umbilical submanifolds in quaternion Euclidean spaces using the idea of quaternion extensors.

Related

• The explicit formula of flat Lagrangian H-umbilical submanifolds in quaternion Euclidean spaces
• Tangentially biharmonic Lagrangian H-umbilical submanifolds in complex space forms
• H-umbilical Lagrangian submanifolds of the nearly Kähler \mathbbS³×\mathbbS³
• Lagrangian submanifolds in k-symplectic settings
• Construction of Hamiltonian-minimal Lagrangian submanifolds in complex Euclidean space