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On the signatures of the canonical and the metrical energy densities of vector fields

✍ Scribed by Hans-Jürgen Treder


Publisher
Springer
Year
1975
Tongue
English
Weight
198 KB
Volume
14
Category
Article
ISSN
0020-7748

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The stability of the three-dimensional Hopf vector field, as a harmonic section of the unit tangent bundle is viewed from a number of different angles. The spectrum of the vertical Jacobi operator is computed, and compared with that of the Jacobi operator of the identity map on the 3-sphere. The var