A Note on Geodesics in Infinite-dimensional Teichm Uller Spaces
نویسنده
چکیده
In this paper the following phenomena of geodesics in an innnite-dimensional Teichm uller space are founded: a geodesic (locally shortest arc) need not be a straight line (an isometric embedding of a segment of R into the Teichm uller space), no sphere is convex with respect to straight lines, and some geodesics can intersect themselves.
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