Semi-Slant $$\xi ^\perp $$ ξ ⊥ -, Hemi-Slant $$\xi ^\perp $$ ξ ⊥ -Riemannian Submersions and Quasi Hemi-Slant Submanifolds

Mehmet Akif Akyol () and Rajendra Prasad ()
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Mehmet Akif Akyol: Bingöl University, Department of Mathematics, Faculty of Arts and Sciences
Rajendra Prasad: University of Lucknow, Department of Mathematics and Astronomy

A chapter in Contact Geometry of Slant Submanifolds, 2022, pp 301-332 from Springer

Abstract: Abstract A differentiable map $$\pi : (M, g_M) \longrightarrow (N, g_N)$$ π : ( M , g M ) ⟶ ( N , g N ) between Riemannian manifolds $$(M, g_M)$$ ( M , g M ) and $$(N, g_N)$$ ( N , g N ) is called a Riemannian submersion if $$\pi _*$$ π ∗ is onto and it satisfies $$\begin{aligned} g_N(\pi _*X_1, \pi _*X_2 )&=g_M(X_1,X_2) \end{aligned}$$ g N ( π ∗ X 1 , π ∗ X 2 ) = g M ( X 1 , X 2 ) for $$X_1, X_2$$ X 1 , X 2 vector fields tangent to M, where $$\pi _*$$ π ∗ denotes the derivative map.

Keywords: 53C15; 53C40; 53C50 (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-0017-3_11

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DOI: 10.1007/978-981-16-0017-3_11

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