کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4606407 1337701 2009 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Eigenvalue estimates for minimal hypersurfaces in hyperbolic space
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Eigenvalue estimates for minimal hypersurfaces in hyperbolic space
چکیده انگلیسی

Recently Candel [A. Candel, Eigenvalue estimates for minimal surfaces in hyperbolic space, Trans. Amer. Math. Soc. 359 (2007) 3567–3575] proved that if M   is a simply-connected stable minimal surface isometrically immersed in H3H3, then the first eigenvalue of M   satisfies 1/4⩽λ(M)⩽4/31/4⩽λ(M)⩽4/3 and he asked whether the bound is sharp and gave an example such that the lower bound is attained. In this note, we prove that the upper bound can never be attained. Also we extend the result by proving that if M   is compact stable minimal hypersurface isometrically immersed in Hn+1Hn+1 where n⩾3n⩾3 such that its smooth Yamabe invariant is negative, then (n−1)/4⩽λ(M)⩽n2(n−2)/(7n−6)(n−1)/4⩽λ(M)⩽n2(n−2)/(7n−6).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 27, Issue 1, February 2009, Pages 104–108
نویسندگان
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