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