Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893706 | Journal of Geometry and Physics | 2007 | 18 Pages |
Abstract
Biharmonic maps between warped products are studied. The main results are: (i)the condition for the biharmonicity of the inclusion of a Riemannian manifold NN into the warped product M×f2N and of the projection π¯:M×f2N→M;(ii)the construction of two new classes of non-harmonic biharmonic maps using products of harmonic maps ϕ=1M×ψ:M×N→M×N and warping the metric on their domain or codomain;(iii)the study of three classes of axially symmetric biharmonic maps, using the warped product setting.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
A. Balmuş, S. Montaldo, C. Oniciuc,