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Consortium of Swiss Academic Libraries

Almost Extrinsically Homogeneous Submanifolds of Euclidean Space

Quast, Peter

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

Consortium of Swiss Academic Libraries

A pinching theorem for extrinsically symmetric submanifolds of Euclidean space

Quast, Peter

In: manuscripta mathematica, 2004, vol. 115, no. 4, p. 427-436

Université de Fribourg

'Spindles' in symmetric spaces

Quast, Peter

In: Journal of the Mathematical Society of Japan, 2006, vol. 58, no. 4, p. 985-994

We study families of submanifolds in symmetric spaces of compact type arising as exponential images of s-orbits of variable radii. If the s-orbit is symmetric such submanifolds are the most important examples of adapted submanifolds, i.e. of submanifolds of symmetric spaces with curvature invariant tangent and normal spaces.

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...