On the harmonic and Killing tensor field on a compact Riemannian manifold.
Tsagas, Gr., Bitis, Gr. (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Displaying similar documents to “An application of stress energy tensor to the vanishing theorem of differential forms.”
On the harmonic and Killing tensor field on a compact Riemannian manifold.
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Todjihounde, Leonard (2006)
International Journal of Mathematics and Mathematical Sciences
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An energy estimate of an exterior problem and a Liouville theorem for harmonic maps
Dong Zhang (1994)
Annales de l'I.H.P. Analyse non linéaire
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Harmonic maps and -regular manifolds
Kouei Sekigawa, Lieven Vanhecke (1989)
Časopis pro pěstování matematiky
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Classification of Certain Compact Riemannian Manifolds with Harmonic Curvature and Non-parallel Ricci Tensor.
Andrzej Derdzinski (1980)
Mathematische Zeitschrift
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Harmonic morphisms and subharmonic functions.
Choi, Gundon, Yun, Gabjin (2005)
International Journal of Mathematics and Mathematical Sciences
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On harmonic vector fields.
Jerzy J. Konderak (1992)
Publicacions Matemàtiques
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A tangent bundle to a Riemannian manifold carries various metrics induced by a Riemannian tensor. We consider harmonic vector fields with respect to some of these metrics. We give a simple proof that a vector field on a compact manifold is harmonic with respect to the Sasaki metric on TM if and only if it is parallel. We also consider the metrics and on a tangent bundle (cf. [YI]) and harmonic vector fields generated by them.