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 $(n+1)$-dimensional contact $CR$-submanifolds of $(n-1)$ contact $CR$-dimension in a Sasakian space form Commun. Korean Math. Soc. 2002 Vol. 17, No. 3, 519-529 Printed September 1, 2002 Jung-Hwan Kwon, Jin Suk Pak Daegu University, Kyungpook National University Abstract : In this paper we study $(n+1)$-dimensional contact $CR$-submanifolds of $(n-1)$ contact $CR$-dimension immersed in a Sasakian space form $\M$ $(2m=n+p,~p>0)$, and especially determine such submanifolds under additional condition concerning with shape operator. Keywords : contact $CR$-submanifold, contact $CR$-dimension, shape operator, Sasakian space form MSC numbers : 53C40, 53C15 Downloads: Full-text PDF