Minimal submanifolds in general $(\alpha ,\beta )$-spaces
Volume 108 / 2013
Annales Polonici Mathematici 108 (2013), 43-59
MSC: Primary 53C60; Secondary 53C40.
DOI: 10.4064/ap108-1-4
Abstract
The volume forms of general ($\alpha ,\beta $)-metrics are studied. Some equations for minimal submanifolds in general $(\alpha ,\beta )$-spaces are established by using the normal frame field, and some minimal surfaces in general $(\alpha ,\beta )$-spaces with special curvature properties are constructed.
