Total curvature and length estimate for curves in CAT(K) spaces
نویسندگان
چکیده
منابع مشابه
Curves, Knots, and Total Curvature
Charles Evans We present an exposition of various results dealing with the total curvature of curves in Euclidean 3-space. There are two primary results: Fenchel’s theorem and the theorem of Fary and Milnor. Fenchel’s theorem states that the total curvature of a simple closed curve is greater than or equal to 2π, with equality if and only if the curve is planar convex. The Fary-Milnor theorem s...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2003
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(03)00031-7