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2013•Journal of Function Spaces and ApplicationsOpen access

Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds

Yılmaz Gündüzalp

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Abstract

We introduce anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds onto semi-Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a semi-Riemannian submersion, and check the harmonicity of such submersions. We also obtain curvature relations between the base manifold and the total manifold.

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We introduce anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds onto semi-Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a semi-Riemannian submersion, and check the harmonicity of such submersions. We also obtain curvature relations between the base manifold and the total manifold.

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Available abstract

We introduce anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds onto semi-Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a semi-Riemannian submersion, and check the harmonicity of such submersions. We also obtain curvature relations between the base manifold and the total manifold.

Key concepts: Mathematics, Riemannian submersion, Curvature of Riemannian manifolds, Hermitian manifold, Ricci-flat manifold, Pure mathematics, Hermitian matrix, Invariant (physics)

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