Uniqueness results for the Minkowski problem extended to hedgehogs
From MaRDI portal
Publication:424090
DOI10.2478/s11533-011-0134-8zbMath1239.35005OpenAlexW1992159162MaRDI QIDQ424090
Publication date: 31 May 2012
Published in: Central European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/s11533-011-0134-8
PDEs of mixed type (35M10) Surfaces in Euclidean and related spaces (53A05) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items
The singular evolutoids set and the extended evolutoids front ⋮ Gauss rigidity and volume preservation under preserving curvature deformations for hedgehogs ⋮ New insights on marginally trapped surfaces: the hedgehog theory point of view ⋮ Hedgehog theory via Euler calculus ⋮ The geometry of the Wigner caustic and a decomposition of a curve into parallel arcs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New notion of index for hedgehogs of \(\mathbb R^3\) and applications
- The local isometric embedding in \(R^ 3\) of 2-dimensional Riemannian manifolds with nonnegative curvature
- Hedgehog index: Study and applications
- Hedgehog theory and polytopes
- On a conjectured characterization of the sphere
- Contre-exemple à une caractérisation conjecturée de la sphère
- Existence locale de solutions c∞ pour des equations de monge-ampere changeant de type
- On the regularity of the solution of then-dimensional Minkowski problem
- Hedgehogs of constant width and equichordal points
- A Panoramic View of Riemannian Geometry
- New counterexamples to A. D. Alexandrov’s hypothesis
- Geometric Study of Minkowski Differences of Plane Convex Bodies
- Hedgehogs and zonoids