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Classification of Rectifying Space-Like Submanifolds in Pseudo-Euclidean Spaces
Faculty Publications
  • Bang Yen Chan, Michigan State University
  • Yun Myung Oh, Andrews University
Document Type
Publication Date
  • Rectifying submanifold; Rectifying subspace; Pseudo-Euclidean space; Concurrent vector field; Space-like submanifold; Position vector field.

The notions of rectifying subspaces and of rectifying submanifolds were introduced in [B.-Y. Chen, Int. Electron. J. Geom 9 (2016), no. 2, 1–8]. More precisely, a submanifold in a Euclidean m-space Em is called a rectifying submanifold if its position vector field always lies in its rectifying subspace. Several fundamental properties and classification of rectifying submanifolds in Euclidean space were obtained in [B.-Y. Chen, op. cit.]. In this present article, we extend the results in [B.-Y. Chen, op. cit.] to rectifying space- like submanifolds in a pseudo-Euclidean space with arbitrary codimension. In particular, we completely classify all rectifying space-like submanifolds in an arbitrary pseudo-Euclidean space with codimension greater than one.

Journal Title
International Electronic Journal of Geometry
First Department
Retrieved August 24, 2018 from
Citation Information
Bang Yen Chan and Yun Myung Oh. "Classification of Rectifying Space-Like Submanifolds in Pseudo-Euclidean Spaces" Vol. 10 Iss. 1 (2017) p. 86 - 95
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