Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Leung-Fu Cheung"'
Publikováno v:
Anais da Academia Brasileira de Ciências, Vol 78, Iss 2, Pp 195-201 (2006)
In this short communication, we announce results from our research on the structure of complete noncompact oriented weakly stable minimal hypersurfaces in a manifold of nonnegative sectional curvature. In particular, a complete oriented weakly stable
Externí odkaz:
https://doaj.org/article/f5dc4e99c2d44e7b82be463af52a7549
Publikováno v:
Communications on Pure & Applied Analysis. 16:1941-1955
We give a classification of rotationally symmetric \begin{document} $p$ \end{document} -harmonic maps between some model spaces such as \begin{document} $\mathbb{R}^n$ \end{document} and \begin{document} $\mathbb{H}^n$ \end{document} by their asympto
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8811922c860c14b82d66d32c47a151e4
https://doi.org/10.3934/cpaa.2017095
https://doi.org/10.3934/cpaa.2017095
Autor:
Leung-fu Cheung1 lfcheung@math.cuhk.edu.hk, Detang Zhou2 zhou@mat.uff.br
Publikováno v:
Bulletin of the Brazilian Mathematical Society. Apr2005, Vol. 36 Issue 1, p99-114. 16p.
Publikováno v:
Journal of Mathematical Analysis and Applications. 371:397-402
In this article, we prove that every positively curved, complete non-compact hypersurface in R n has infinite total mean curvature.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32cb32a92814af9dbb2f07d715aff4a3
https://doi.org/10.1016/j.jmaa.2010.04.056
https://doi.org/10.1016/j.jmaa.2010.04.056
Publikováno v:
東北數學雜誌. Second series = Tohoku mathematical journal. Second series. 60(1):101-121
We study the global behavior of weakly stable constant mean curvature hypersurfaces in a Riemannian manifold by using harmonic function theory. In particular, a complete oriented weakly stable minimal hypersurface in the Euclidean space must have onl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::4cfcb0c3073869bb93d0bb6c3eeb9e33
http://hdl.handle.net/10097/00106036
http://hdl.handle.net/10097/00106036
Publikováno v:
Sen'i Gakkaishi. 64:236-243
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ed8dfd2dfec69917cc9e9010386e17a
https://doi.org/10.2115/fiber.64.236
https://doi.org/10.2115/fiber.64.236
Publikováno v:
Journal of Mathematical Analysis and Applications. 327:869-877
A rotationally symmetric n -harmonic map is a rotationally symmetric p -harmonic map between two n -dimensional model spaces such that p = n . We show that rotationally symmetric n -harmonic maps can be integrated and are n -harmonic diffeomorphism,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90667ffe57bf298326129dbb53514537
https://doi.org/10.1016/j.jmaa.2006.04.073
https://doi.org/10.1016/j.jmaa.2006.04.073
Autor:
Leung-Fu Cheung, Detang Zhou
Publikováno v:
Bulletin of the Brazilian Mathematical Society, New Series. 36:99-114
In this paper, we show that all complete stable hypersurfaces in ℝ n+1(or ℍ n+1 (-1)) (n = 3, 4, 5) with constant mean curvature H > 0 (or H > 1, respectively) and finite L 2 norm of traceless second fundamental form are compact geodesic spheres.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::364a6a5b2d995b99d5ed14c0c5c5146f
https://doi.org/10.1007/s00574-005-0030-6
https://doi.org/10.1007/s00574-005-0030-6
Autor:
Leung-Fu Cheung, Pui-Fai Leung
Publikováno v:
Journal of the Australian Mathematical Society. 76:151-166
We apply the Moser iteration method to obtain a pointwise bound on the norm of the second fundamental form from a bound on its Ln norm for a complete minimal submanifold in a sphere. As an application we show that a complete minimal submanifold in a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::faf2de5fe30966816b1f410cf6ec4e55
https://doi.org/10.1017/s1446788700008867
https://doi.org/10.1017/s1446788700008867
Autor:
Leung-Fu Cheung, Pui-Fai Leung
Publikováno v:
Mathematische Zeitschrift. 236:525-530
Let M be an n-dimensional complete non-compact submanifold in a hyperbolic space with the norm of its mean curvature vector bounded by a constant \(\alpha 0 \). In particular when M is minimal we have \(\lambda _{1}\left( M\right) \geq \frac{1}{4} \l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d76828be7473ecef53b6a35cb3fb69e8
https://doi.org/10.1007/pl00004840
https://doi.org/10.1007/pl00004840