Screen Pseudo-Slant Lightlike Submersions

S. S. Shukla; Shivam Omar

doi:10.22342/jims.29.1.1060.64-74

S. S. Shukla ⁽¹⁾ , Shivam Omar ⁽²⁾

(1) Depatment of Mathematics, University of Allahabad, Prayagraj, India,

(2) Depatment of Mathematics, University of Allahabad, Prayagraj, India

https://doi.org/10.22342/jims.29.1.1060.64-74

Issue
VOLUME 29 NUMBER 1 (MARCH 2023)

Submitted
October 3, 2021

Accepted
January 4, 2023

Published
March 30, 2023

Keywords:

Submersion, Slant manifold, Lightlike manifold, Lightlike submersion, Kaehler manifold

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Abstract

In this article, we introduce the notion of screen pseudo-slant lightlike submersions from an indefinite Kähler manifold onto a lightlike manifold which includes complex (invariant), screen real (anti-invariant), screen slant and SCR lightlike submersions. We study some properties of proper screen pseudo-slant lightlike submersions with non-trivial examples and gave a characterization theorem. We also obtain integrability conditions of distributions involved in the definition of such submersions.

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Authors

S. S. Shukla

Depatment of Mathematics, University of Allahabad, Prayagraj

sssukla_au@rediffmail.com (Primary Contact)

Shivam Omar

Depatment of Mathematics, University of Allahabad, Prayagraj

Shukla, S. S., & Omar, S. (2023). Screen Pseudo-Slant Lightlike Submersions. Journal of the Indonesian Mathematical Society, 29(1), 64–74. https://doi.org/10.22342/jims.29.1.1060.64-74