Euler characters and submanifolds of constant positive curvature
نویسندگان
چکیده
منابع مشابه
Euler Characters and Submanifolds of Constant Positive Curvature
This article develops methods for studying the topology of submanifolds of constant positive curvature in Euclidean space. It proves that if Mn is an n-dimensional compact connected Riemannian submanifold of constant positive curvature in E2n−1, then Mn must be simply connected. It also gives a conformal version of this theorem.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2002
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-02-03043-x