Positively Curved Surfaces with No Tangent Support Plane
نویسندگان
چکیده
We discuss a characterization of positively curved surfaces M with the property that at each point the tangent plane to M is not a support plane for the entire surface. A one parameter family of examples which have special relevance with respect to the characterization is also given. Each member of this family is a smooth embedded surface in R 3 that is topologically a disk, has everywhere positive Gauss curvature, but has none of its tangent planes as a support plane.
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