Biharmonic maps on V-manifolds
2001 ◽
Vol 27
(8)
◽
pp. 477-484
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Keyword(s):
We generalize biharmonic maps between Riemannian manifolds into the case of the domain being V-manifolds. We obtain the first and second variations of biharmonic maps on V-manifolds. Since a biharmonic map from a compact V-manifold into a Riemannian manifold of nonpositive curvature is harmonic, we construct a biharmonic non-harmonic map into a sphere. We also show that under certain condition the biharmonic property offimplies the harmonic property off. We finally discuss the composition of biharmonic maps on V-manifolds.
2008 ◽
Vol 19
(08)
◽
pp. 981-996
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2008 ◽
Vol 51
(3)
◽
pp. 448-459
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Keyword(s):
2000 ◽
Vol 68
(2)
◽
pp. 145-154
◽
Keyword(s):
1994 ◽
Vol 36
(1)
◽
pp. 77-80
◽
Keyword(s):
2010 ◽
Vol 2010
◽
pp. 1-11
◽