Quast, Peter 2006 Consider a closed manifold <i>M</i> immersed in R^<i>m</i>. Suppose that the trivial bundle <i>M</i>× R^<i>m</i> = <i>T M</i>⊗ ν <i>M</i> is equipped with an almost metric connection ~ ∇ which almost preserves the decomposition of <i>M</i>× R^<i>m</i> into the tangent and the normal bundle. Assume moreover that the difference Γ = ∂~∇ with the usual derivative ∂ in R^<i>m</i> is almost ~∇-parallel. Then <i>M</i> admits an extrinsically application/pdf https://folia.unifr.ch/global/documents/300246 https://folia.unifr.ch/documents/300246/files/10455_2006_Article_7278.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s10455-006-7278-y info:eu-repo/semantics/openAccess License undefined Annals of Global Analysis and Geometry. - 2006, vol. 29, no. 1, p. 1-16 submanifolds extrinsic geometry homogeneity pinching orbits info:eu-repo/classification/udc/51 Almost extrinsically homogeneous submanifolds of Euclidean space http://purl.org/coar/resource_type/c_6501