Pointwise slant submanifolds in almost Hermitian manifolds

Authors : Bang-Yen CHEN

Pages : 630-640

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :An interesting class of submanifolds of almost Hermitian manifolds insert ignore into journalissuearticles values(\tilde M,\tilde g,J); is the class of slant submanifolds. Slant submanifolds were introduced by the first author in [6] as submanifolds M of insert ignore into journalissuearticles values(\tilde M,\tilde g,J); such that, for any nonzero vector X \in TpM, p \in M, the angle qinsert ignore into journalissuearticles values(X); between JX and the tangent space TpM is independent of the choice of p\in M and X \in TpM. The first results on slant submanifolds were summarized in the book [7]. Since then slant submanifolds have been studied by many geometers. Many nice results on slant submanifolds have been obtained during the last two decades. The main purpose of this paper is to study pointwise slant submanifolds in almost Hermitian manifolds which extends slant submanifolds in a very natural way. Several basic results in this respect are proved in this paper.
Keywords : Slant submanifold, pointwise slant submanifold, slant function, conformal mapping, cohomology