PIGTIKAL (puzzles in geometry that I know and love)
arXiv:0906.0290
Abstract
Problems for the graduate students who want to improve problem-solving skills in geometry. Every problem has a short elegant solution -- this gives a hint which was not available when the problem was discovered.
Second printing, 195 problems, 156 pages, 66 figures
References in corpus (10)
- Comparison and Rigidity Theorems in Semi-Riemannian Geometry
- Polyhedral Kahler Manifolds
- An inequality for the maximum curvature through a geometric flow
- Intrinsic isometries in Euclidean space
- The displaced disks problem via symplectic topology
- Long geodesics on convex surfaces
- Hofer's length spectrum of symplectic surfaces
- Great circle links in the three-sphere
- Sweeping out sectional curvature
- Monotonicity of saddle maps