A distance for similarity classes of submanifolds of a Euclidean space
نویسندگان
چکیده
منابع مشابه
Spherical Submanifolds of a Euclidean Space
A1 and A2 being arbitrary constants. A natural generalization of this question to higher dimensions could be: ‘given an isometric immersion ψ : Mn → Rn+2 of a compact n-dimensional Riemannian manifold (Mn, g), obtain conditions for ψ(Mn) ⊂ Sn+1(c), where Sn+1(c) is the sphere of constant curvature c’. We write ψT , ψ⊥ as tangential and normal components of the position vector ψ in Rn+p and show...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1990
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700028574