Biharmonic submanifolds in 3-dimensional (κ, μ)-manifolds
نویسندگان
چکیده
where τ( f ) is the tension field of f and dvg is the volume form of M. It is clear that E2( f |Ω) = 0 on any compact domain if and only if f is a harmonic map. Thus E2 provides a measure for the extent to which f fails to be harmonic. If f is a critical point of (1.1) over every compact domain, then f is called a biharmonic map or 2-harmonic maps. Jiang [10] proved that f is biharmonic if and only if
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2005 شماره
صفحات -
تاریخ انتشار 2005