Classification of polarized manifolds by the second sectional Betti number
نویسندگان
چکیده
منابع مشابه
Positive Pinching , Volume and Second Betti Number
Our main theorem asserts that for all odd n ≥ 3 and 0 < δ ≤ 1, there exists a small constant, i(n, δ) > 0, such that if a simply connected n-manifold, M , with vanishing second Betti number admits a metric of sectional curvature, δ ≤ KM ≤ 1, then the injectivity radius of M is greater than i(n, δ).
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 2013
ISSN: 0385-4035
DOI: 10.14492/hokmj/1384273393