Collapsing with a lower bound on the curvature operator
نویسندگان
چکیده
منابع مشابه
A Lower Bound on the Cesaro Operator
If the sequence a = (a„>^ E /2, i.e., ||a||2 = 2~=0 | a„ |2 < oo, define Sa as the sequence of averages 1 " 2 ak n + 1 , It follows easily from the Marcinkiewicz Interpolation Theorem that S is a bounded operator from I2 to I2; this can also be proved directly using the Cauchy-Buniakowski-Schwarz inequality [1]. S is known as the Cesàro operator. S is, of course, not bounded below, but the foll...
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In my talk I will discuss the following results which were obtained in joint work with Wilderich Tuschmann. 1. For any given numbers m, C and D, the class of m-dimensional simply connected closed smooth manifolds with finite second homotopy groups which admit a Riemannian metric with sectional curvature |K| ≤ C and diameter ≤ D contains only finitely many diffeomorphism types. 2. Given any m an...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2014
ISSN: 0001-8708
DOI: 10.1016/j.aim.2014.02.006