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Almost Extrinsically Homogeneous Submanifolds of Euclidean Space

Quast, Peter

In: Annals of Global Analysis and Geometry, 2006, vol. 29, no. 1, p. 1-16

Université de Fribourg

Almost extrinsically homogeneous submanifolds of Euclidean space

Quast, Peter

In: Annals of Global Analysis and Geometry, 2006, vol. 29, no. 1, p. 1-16

Consider a closed manifold M immersed in Rm. Suppose that the trivial bundle M× Rm = T M⊗ ν M is equipped with an almost metric connection ~ ∇ which almost preserves the decomposition of M× Rm into the tangent and the normal bundle. Assume moreover that the difference Γ = ∂~∇ with the usual...