کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4590068 1334931 2014 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Isoparametric foliation and Yau conjecture on the first eigenvalue, II
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Isoparametric foliation and Yau conjecture on the first eigenvalue, II
چکیده انگلیسی

This is a continuation of [23], which investigated the first eigenvalues of minimal isoparametric hypersurfaces with g=4g=4 distinct principal curvatures and focal submanifolds in unit spheres. For the focal submanifolds with g=6g=6, the present paper obtains estimates on all the eigenvalues, among others, giving an affirmative answer in one case to the problem posed in [23], which may be regarded as a generalization of Yau's conjecture. In two of the four unsettled cases in [23] for focal submanifolds M1M1 of OT-FKM-type, we prove the first eigenvalues to be their respective dimensions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 266, Issue 10, 15 May 2014, Pages 6174–6199
نویسندگان
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