Zobrazeno 1 - 7
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pro vyhledávání: '"Marcus Kriele"'
Autor:
Marcus Kriele
Publikováno v:
Journal of Geometry. 66:123-135
We investigate the conormal geometry of relative affine hypersurfaces whose relative metric (Blaschke metric) degenerates on a codimension 1 submanifold. Such hypersurfaces arise in the investigation of compact hypersurfaces which are not diffeomorph
Autor:
Marcus Kriele, Luc Vrancken
Publikováno v:
Transactions of the American Mathematical Society. 352:1581-1599
We study ane hyperspheres M with constant sectional curvature (with respect to the ane metric h). A conjecture by M. Magid and P. Ryan states that every such ane hypersphere with nonzero Pick invariant is anely equivalent to either where the dimensio
Autor:
Luc Vrancken, Marcus Kriele
Publikováno v:
Archiv der Mathematik. 72:223-232
We study Lagrangian immersions \(M^n_1\) into Lorentzian complex indefinite space forms \(\tilde M^n_1(4 \tilde c), \tilde c \ne 0\) and classify all such immersions which are minimal and have constant curvature \(c \ne \tilde c\).
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
Publikováno v:
Classical and Quantum Gravity. 13:1161-1182
In a four-dimensional Lorentzian manifold, a family of light rays emanating orthogonally from a spacelike 2-surface generates a `wavefront'. The caustic of a wavefront is the set of all points where the wavefront fails to be an (immersed) submanifold
Publikováno v:
Results in Mathematics. 27:41-50
Local and global properties of the first order spherical functions are generalized to projectively flat manifolds.
Autor:
Marek Kossowski, Marcus Kriele
Publikováno v:
Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences. 444:297-306
We study the geodesics and pre-geodesics of a smooth manifold with smooth pseudo riemannian metric which changes bilinear type (i. e. the signature changes) on a hypersurface. We classify all geodesics and pre-geodesics that cross the hypersurface of