Showing papers by "Young Jin Suh published in 1998"
Journal Article•
TL;DR: In this paper, Liouville type for complete Riemannian manifolds is given as an extension of the Theorem of Nishikawa [6] and the purpose of this paper is to give a proof of the theorem.
Abstract: The purpose of this paper is to give a theorem of Liouvilletype for complete Riemannian manifolds as an extension of the Theorem of Nishikawa [6].
15 citations
TL;DR: In this paper, a class of non-degenerate ruled surfaces in Rj are characterized as null scrolls, satisfying the condition A£ = A£, where £ denotes their Gauss maps and Aeal(3,R).
Abstract: The purpose of this paper is to characterize a class of non-degenerate ruled surfaces in Rj, which are said to be null scrolls, satisfying the condition A£ = A£, where £ denote their Gauss maps and Aeal(3,R).
9 citations
Journal Article•
TL;DR: In this article, the authors considered the Lorentz version of the classification theorem and obtained a complete classification of space-like surfaces in indefinite Euclidean space R~+P with I-type generalized Gauss map.
Abstract: Chen and Piccinni (7) have classified all compact sur faces in a Euclidean space R2+p with I-type generalized Gauss map. Being motivated by this result, the purpose of this paper is to consider the Lorentz version of the classification theorem and to obtain a complete classification of space-like surfaces in indefinite Euclidean space R~+P with I-type generalized Gauss map.
4 citations
Journal Article•
1 citations
TL;DR: On a real hypersurface of quatemionic projective space QPm, this paper proved that such a real hyper-surface must be Einstein's real hyper surface and proved that the distribution of the real hyper hyper surface must be known.
Abstract: On a real hypersurface of quatemionic projective space QPm we study the following condition: L, Q) and Qi1-being certain distributionson the real hyper- surface. We prove that such a real hypersurface must be Einstein.