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GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds

Rakesh Kumar|Sangeet Kumar|R. K. Nagaich
대한수학회 (The Korean Mathematical Society)|2013.07|대한수학회보 (Bulletin of the KMS)|제50권 제4호|pp. 1173-1192

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참고문헌

키워드

GCR-lightlike submanifoldsCR-lightlike submanifoldsSCR-lightlike submanifoldsminimal lightlike submanifoldsindefinite nearly Kaehler manifoldstotally umbilical lightlike subman- ifolds
주제분류수학

초록

We introduce CR, SCR and GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds and obtain their existence in indefinite nearly Kaehler manifolds of constant holomorphic sectional curvature c and of constant type α. We also prove characterization theorems on the existence of totally umbilical and minimal GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds.

Abstract

We introduce CR, SCR and GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds and obtain their existence in indefinite nearly Kaehler manifolds of constant holomorphic sectional curvature c and of constant type α. We also prove characterization theorems on the existence of totally umbilical and minimal GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds.

참고문헌 (21)

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  20. Rakesh Kumar, "INTEGRABILITY OF DISTRIBUTIONS IN GCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS", 대한수학회논문집, 27(3), pp.591~602 (2012), 대한수학회
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