In: Annals of Global Analysis and Geometry, 2006, vol. 29, no. 1, p. 1-16
|
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...
|
In: manuscripta mathematica, 2004, vol. 115, no. 4, p. 427-436
|
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.
|
