Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Marcus Kriele"'
Autor:
Jochen Wolf, Marcus Kriele
Publikováno v:
Blätter der DGVFM. 28:195-219
The valuation of insurance liabilities plays a central role in the design of any solvency framework. We investigate the notion of “fair value of liabilities” at a conceptional level and compare several implementations which are currently discusse
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:
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:
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
Autor:
Marcus Kriele
Publikováno v:
General Relativity and Gravitation. 28:1409-1413
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:
Ulrich Bunke, Marcus Kriele
Publikováno v:
Annals of Global Analysis and Geometry. 9:319-324
We show that {ie319-1} H2dµ = ∞ for any complete surface M ⊂ R3 which has positive curvature outside a compact subset of R3. This proves a conjecture of Friedrich.
Autor:
Marcus Kriele
Publikováno v:
General Relativity and Gravitation. 22:619-623
We announce and justify two theorems (proofs will appear in Refs. 1 and 2): i) A generalization of the singularity theorem of Hawking and Penrose [3] to space-times with chronology violations. Although it is impossible to remove the chronology condit