An application of stress energy tensor to the vanishing theorem of differential forms.

Cai, Kairen

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.

Tsagas, Gr., Bitis, Gr. (2001)

Balkan Journal of Geometry and its Applications (BJGA)

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On the biharmonicity of product maps.

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 $s$ -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.

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.

On the biharmonicity of product maps.

An energy estimate of an exterior problem and a Liouville theorem for harmonic maps

Harmonic maps and s -regular manifolds

Classification of Certain Compact Riemannian Manifolds with Harmonic Curvature and Non-parallel Ricci Tensor.

Harmonic morphisms and subharmonic functions.

On harmonic vector fields.

Harmonic maps and $s$ -regular manifolds