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Minimal submanifolds in general $(\alpha ,\beta )$-spaces

Tom 108 / 2013

Songting Yin, Qun He, Dinghe Xie Annales Polonici Mathematici 108 (2013), 43-59 MSC: Primary 53C60; Secondary 53C40. DOI: 10.4064/ap108-1-4

Streszczenie

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.

Autorzy

  • Songting YinDepartment of Mathematics
    Tongji University
    200092 Shanghai, China
    and
    Department of Mathematics
    and Computer Science
    Tongling University
    244000 Tongling, Anhui, China
    e-mail
  • Qun HeDepartment of Mathematics
    Tongji University
    200092 Shanghai, China
    e-mail
  • Dinghe XieDepartment of Mathematics
    Tongji University
    200092 Shanghai, China
    e-mail

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