Distributions on Riemannian manifolds, which are harmonic maps

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概要

• 論文の詳細を見る

• We find new examples of harmonic maps between compact Riemannian manifolds. A section of a Riemannian fibration is called harmonic if it is harmonic as a map from the base manifold into the total space. When the fibres are totally geodesic, the Euler-Lagrange equation for such sections is formulated. In the case of distributions, which are sections of a Grassmannian bundle, this formula is described in terms of the geometry of base manifolds. Examples of harmonic distributions are constructed when the base manifolds are homogeneous spaces and the integral submanifolds are totally geodesic. In particular, we show all the generalized Hopf-fibrations define harmonic maps into the Grassmannian bundles with the standard metric.

• 東北大学の論文

著者

• Yim Jin-whan

  Department Ofmathematics Korea Advance Institute Of Science Andtechnogy

• Yim Jin-whan

  Department Of Mathematics Korea Advenced Institute Of Science And Technology

• Choi Boo-Yong

  Department of Mathematics, Air Force Academy

• Choi Boo-yong

  Department Of Mathematics Air Force Academy

関連論文

• Surfaces with extreme value of curvature in Alexandrov spaces
• Distributions on Riemannian manifolds, which are harmonic maps

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