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pro vyhledávání: '"Marcus Kriele"'
Autor:
Luc Vrancken, Marcus Kriele
Publikováno v:
Geometriae Dedicata. 77:239-252
In analogy to an inequality of Chen [2], Scharlach and co-workers [7] have found a new, optimal inequality for (equi-) affine spheres. We classify those three-dimensional hyperbolic affine spheres for which the corresponding equality is assumed. This
Autor:
Marcus Kriele, Marek Kossowski
Publikováno v:
Geometriae Dedicata. 64:1-16
Consider a smooth manifold with smooth (0, 2)-tensor which changes bilinear type on a hypersurface. We show that there are natural tensors on this hypersurface which control the smooth extension of sectional, Ricci, and scalar curvature. This enables