Length and area of a convex curve under affine transformation
نویسندگان
چکیده
منابع مشابه
compactifications and representations of transformation semigroups
this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...
15 صفحه اولAffine surface area and convex bodies of elliptic type
If a convex body K in R is contained in a convex body L of elliptic type (a curvature image), then it is known that the affine surface area of K is not larger than the affine surface area of L. We prove that the affine surface areas of K and L can only be equal if K = L. 2010 Mathematics Subject Classification: primary 52A10; secondary 53A15
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1953
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1953.3.393