curvature pinching for minimal submanifolds of a sphere
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نویسنده
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yuan lei ,matsuyama yoshio
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منبع
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journal of advanced mathematical studies - 2014 - دوره : 7 - شماره : 1 - صفحه:45 -55
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چکیده
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Let s^{n+p}(c) be an (n + p)-dimensional euclidean sphere of constant curvaturec and m an n-dimensional minimal submanifold isometrically immersed in s^n+p(c).we want to caracterize m under the assumption of scalar curvature ρ of m satisfyingρ ≥ n(n − 1)c − np(n+ 2)]/[2(n + p + 2)].c.
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کلیدواژه
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convex functions ,ϕ-convex functions ,integral inequalities ,fractional integrals
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آدرس
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chuo university, department of mathematics, japan, chuo university, department of mathematics, japan
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پست الکترونیکی
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matuyama@math.chuo-u.ac.jp
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