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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2024.1
- 수록면
- 183 - 205 (23page)
- DOI
- 10.4134/JKMS.j230283
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초록· 키워드
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In this paper, for an $m$-dimensional ($m\geq5$) complete noncompact submanifold $M$ immersed in an $n$-dimensional ($n\geq6$) simply connected Riemannian manifold $N$ with negative sectional curvature, under suitable constraints on the squared norm of the second fundamental form of $M$, the norm of its weighted mean curvature vector $|\textbf{\emph{H}}_{f}|$ and the weighted real-valued function $f$, we can obtain: \begin{itemize} \item several one-end theorems for $M$; \item two Liouville theorems for harmonic maps from $M$ to complete Riemannian manifolds with nonpositive sectional curvature. \end{itemize}
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