Generalized QR (GQR)- Lightlike Submanifolds of Indefinite Quaternion Kähler Manifolds

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Published: Dec 15, 2021
Keywords:
Lightlike submanifolds; indefinite quaternion Kähler manifolds; QR-lightlike submanifolds, and SQR-lightlike submain-folds.

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Gauree Shanker
Department of Mathematics and Statistics Central University of Punjab, Bathinda, Punjab-151 401, India.
Ankit Yadav
Department of Mathematics and Statistics Central University of Punjab, Bathinda, Punjab-151 401, India.

Abstract

In this article, we introduce a new class of submanifolds namely GQR- lightlike submanifold of indefinite quaternion Kähler manifolds. It is observed that there is no inclusive relation between QR lightlike submanifolds and SQR lightlike submanifolds. We introduce a generalized submanifold, namely GQR-lightlike submanifold of indefinite quaternion Kähler manifold which contains QR lightlike submanifolds and SQR lightlike submanifolds. Further, we study various distributions of GQR- lightlike submanifolds and establish some important results.

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Gauree Shanker, Ankit Yadav. Generalized QR (GQR)- Lightlike Submanifolds of Indefinite Quaternion Kähler Manifolds. J. Int. Acad. Phys. Sci. [Internet]. 2021 Dec. 15 [cited 2024 May 21];25(4):475-94. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/894
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Vol. 25 No. 4 (2021): Table of Content
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