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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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In this note, we generalize the weak maximum principle in [4] to the case of complete linear Weingarten hypersurface in Riemannian space form Mn+1(c) (c = 1, 0,−1), and apply it to estimate the norm of the total umbilicity tensor. Furthermore, we will study the linear Weingarten hypersurface in Sn+1(1) with the aid of this weak maximum principle and extend the rigidity results in Li, Suh, Wei [13] and Shu [15] to the case of complete hypersurface.
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참고문헌 (17)
참고문헌 신청
A. Brasil Jr. / 2010 / Complete hypersurfaces with constant scalar curvature in spheres / Monatsh. Math 161 (4) : 369 ~ 380
A. Caminha / 2006 / On hypersurfaces into Riemannian spaces of constant sectional curvature / Kodai Math. J 29 (2) : 185 ~ 210
A. V. Corro / 2003 / Ribaucour transformations for constant mean curvature and linear Weingarten surfaces / Pacific J. Math 212 (2) : 265 ~ 297
C. Aquino / 2013 / A new characterization of complete linear Weingarten hypersurfaces in real space forms / Pacific J. Math 261 (1) : 33 ~ 43
Dan Yang / 2012 / LINEAR WEINGARTEN SPACELIKE HYPERSURFACES IN LOCALLY SYMMETRIC LORENTZ SPACE / 대한수학회보 49 (2) : 271 ~ 284
A. Caminha / 2006 / On hypersurfaces into Riemannian spaces of constant sectional curvature / Kodai Math. J 29 (2) : 185 ~ 210
A. V. Corro / 2003 / Ribaucour transformations for constant mean curvature and linear Weingarten surfaces / Pacific J. Math 212 (2) : 265 ~ 297
C. Aquino / 2013 / A new characterization of complete linear Weingarten hypersurfaces in real space forms / Pacific J. Math 261 (1) : 33 ~ 43
Dan Yang / 2012 / LINEAR WEINGARTEN SPACELIKE HYPERSURFACES IN LOCALLY SYMMETRIC LORENTZ SPACE / 대한수학회보 49 (2) : 271 ~ 284
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