Biharmonic Riemannian submersions
Özet
In this paper, we study biharmonic Riemannian submersions. We first
derive bitension field of a general Riemannian submersion, and we then
use it to obtain biharmonic equations for Riemannian submersions with
one-dimensional fibers and Riemannian submersions with basic mean
curvature vector fields of fibers. These are used to construct examples
of proper biharmonic Riemannian submersions with one-dimensional fibers
and to characterize warped products whose projections onto the first
factor are biharmonic Riemannian submersions.
Koleksiyonlar
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