Anti-invariant Riemannian submersions from almost Hermitian manifolds

By Bayram Sahin. 2010

189 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a257807c58ad3bb7f14ef2f0c966e0a67d734430

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In Applied Mathematics

1. Mehmet Akif Akyol
2. Bayram Sahin
3. Siraj Uddin
4. Bang‐Yen Chen
5. Y. Gündüzalp

In Astronomy and Astrophysics

1. Mehmet Akif Akyol
2. Bayram Sahin
3. Y. Gündüzalp

In Geometry and Topology

1. Mehmet Akif Akyol
2. Bayram Sahin
3. Siraj Uddin
4. Bang‐Yen Chen
5. Y. Gündüzalp

Citations in the corpus

• Conformal anti-invariant submersions from almost Hermitian manifolds (2015, background): “Therefore, the second author of the present paper considered a new submersion defined on an almost Hermitian manifold such that the vertical distribution is anti-invariant with respect to the almost complex structure [20].”