Semi-invariant conformal submersions with horizontal Reeb vector field
Filomat, Tome 37 (2023) no. 12, p. 3819
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The present paper deals with the characterization of a new submersion named semi-invariant conformal submersions with horizontal Reeb vector field from almost contact metric manifolds onto Riemannian metric manifolds which is the generalization of some known submersions on Riemannian metric manifolds. We give important and adequate conditions for such submersions to be totally geodesic and harmonic. Also, a few examples are examined for such submersions endowed with horizontal Reeb vector field.
Classification :
53C15, 53C40, 53C50
Keywords: Conformal submersion, semi-invariant Riemannian submersion, semi-invariant conformal ζ⊥ Riemannian submersion, almost contact metric manifolds, totally geodesic
Keywords: Conformal submersion, semi-invariant Riemannian submersion, semi-invariant conformal ζ⊥ Riemannian submersion, almost contact metric manifolds, totally geodesic
Shashikant Pandey; Rajendra Prasad; Punam Gupta; Shweta Singh. Semi-invariant conformal submersions with horizontal Reeb vector field. Filomat, Tome 37 (2023) no. 12, p. 3819 . doi: 10.2298/FIL2312819P
@article{10_2298_FIL2312819P,
author = {Shashikant Pandey and Rajendra Prasad and Punam Gupta and Shweta Singh},
title = {Semi-invariant conformal submersions with horizontal {Reeb} vector field},
journal = {Filomat},
pages = {3819 },
year = {2023},
volume = {37},
number = {12},
doi = {10.2298/FIL2312819P},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2312819P/}
}
TY - JOUR AU - Shashikant Pandey AU - Rajendra Prasad AU - Punam Gupta AU - Shweta Singh TI - Semi-invariant conformal submersions with horizontal Reeb vector field JO - Filomat PY - 2023 SP - 3819 VL - 37 IS - 12 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2312819P/ DO - 10.2298/FIL2312819P LA - en ID - 10_2298_FIL2312819P ER -
%0 Journal Article %A Shashikant Pandey %A Rajendra Prasad %A Punam Gupta %A Shweta Singh %T Semi-invariant conformal submersions with horizontal Reeb vector field %J Filomat %D 2023 %P 3819 %V 37 %N 12 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2312819P/ %R 10.2298/FIL2312819P %G en %F 10_2298_FIL2312819P
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