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math.DG2023
On Thurston's geometrical space form problem: on quasi space forms
Stefan Haesen, Miroslava Petrović-Torgašev, Leopold Verstraelen
A proposal is made for what may well be the most elementary Riemannian spaces which are homogeneous but not isotropic. In other words: a proposal is made for what may well be the n…
math.DG2021★ 1 cited
On the extrinsic principal directions and curvatures of Lagrangian submanifolds
Marilena Moruz, Leopold Verstraelen
From the basic geometry of submanifolds will be recalled what are the extrinsic principal tangential directions, (first studied by Camille Jordan in the seventies), and what ar…
math.DG2013★ 5 cited
Laplace Transformations of Submanifolds
Bang-Yen Chen, Leopold Verstraelen
Let be an isometric immersion of a Riemannian manifold into a Euclidean -space. Denote by the Laplace operator of . Then gives rise to a different…