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Anti-invariant Riemannian submersions from almost Hermitian manifolds

100%

Ṣahin B.

Open Mathematics

2010

tom 8

nr 3

437-447

We introduce anti-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and check the harmonicity of such submersions. We also find necessary and sufficient conditions for a Langrangian Riemannian submersion, a special anti-invariant Riemannian submersion, to be totally geodesic. Moreover, we obtain decomposition theorems for the total manifold of such submersions.

Harmonicity of vector fields on four-dimensional generalized symmetric spaces

84%

Calvaruso G.

Open Mathematics

2012

tom 10

nr 2

411-425

Let (M = G/H;g)denote a four-dimensional pseudo-Riemannian generalized symmetric space and g = m + h the corresponding decomposition of the Lie algebra g of G. We completely determine the harmonicity properties of vector fields belonging to m. In some cases, all these vector fields are critical points for the energy functional restricted to vector fields. Vector fields defining harmonic maps are also classified, and the energy of these vector fields is explicitly calculated.

Ograniczanie wyników

2 Open Mathematics

1 Calvaruso G.

1 Ṣahin B.

1 2012

1 2010

Wyniki wyszukiwania

Anti-invariant Riemannian submersions from almost Hermitian manifolds

Harmonicity of vector fields on four-dimensional generalized symmetric spaces