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Invariant and screen semi-invariant lightlike submanifolds of a metallic semi-Riemannian manifold with a quarter symmetric non-metric connection

Jasleen Kaur Virdi|Rajinder Kaur
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2024.09|한국수학논문집 (Korean Journal of Mathematics)|제32권 제3호|pp. 407-424

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참고문헌

키워드

metallic semi-Riemannian manifoldquarter symmetric non-metric connectioninvariant lightlike submanifoldsscreen semi-invariant lightlike submanifolds
주제분류수학

초록

The present work aims to introduce the geometry of invariant and screen semi-invariant lightlike submanifolds of a metallic semi-Riemannian manifold equipped with a quarter symmetric non-metric connection. The study establishes the characterization of integrability and parallelism of the distributions inherent in these submanifolds. Additionally, the conditions for distributions defining totally geodesic foliations on the invariant and screen semi-invariant lightlike submanifolds of metallic semi-Riemannian manifold are specified.

Abstract

The present work aims to introduce the geometry of invariant and screen semi-invariant lightlike submanifolds of a metallic semi-Riemannian manifold equipped with a quarter symmetric non-metric connection. The study establishes the characterization of integrability and parallelism of the distributions inherent in these submanifolds. Additionally, the conditions for distributions defining totally geodesic foliations on the invariant and screen semi-invariant lightlike submanifolds of metallic semi-Riemannian manifold are specified.

참고문헌 (26)

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