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Radical Transversal Screen Cauchy–Riemann Lightlike Submersions

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Abstract

The purpose of present study is to introduce the notion of radical transversal screen Cauchy–Riemann (SCR) lightlike submersions from an indefinite Kaehler manifold onto a lightlike manifold with non trivial examples. We give a characterization theorem for these submersions and investigate the geometry of distributions involved in the definition of such submersions. We also obtain a necessary and sufficient condition for the induced connection \(\hat{\nabla}\) on \(S(Kerf_{*})\) to be metric connection.

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Funding

The second author wishes to thank the Council of Scientific and Industrial Research (CSIR), New Delhi, India for providing financial assistance in terms of Senior Research Fellowship.

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Correspondence to S. S. Shukla, Shivam Omar or Sarvesh Kumar Yadav.

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(Submitted by M. A.Malakhaltsev)

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Shukla, S.S., Omar, S. & Yadav, S.K. Radical Transversal Screen Cauchy–Riemann Lightlike Submersions. Lobachevskii J Math 43, 3631–3640 (2022). https://doi.org/10.1134/S1995080222150276

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  • DOI: https://doi.org/10.1134/S1995080222150276

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