Tight surfaces in three-dimensional compact Euclidean space forms
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Publication:4425448
DOI10.1090/S0002-9947-03-03112-XzbMath1044.53046MaRDI QIDQ4425448
Publication date: 10 September 2003
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) General geometric structures on low-dimensional manifolds (57M50) Surfaces in Euclidean and related spaces (53A05) Immersions in differential topology (57R42)
Cites Work
- On the total curvature of immersed manifolds. II
- How to build minimal polyhedral models of the Boy surface
- Smooth approximation of polyhedral surfaces regarding curvatures
- Convex immersions of closed surfaces in \(E^3\). Non-orientable closed surfaces in \(E^3\) with minimal total absolute Gauss-curvature
- Surfaces of Gaussian curvature zero in Euclidean 3-space
- Tightly Embedded 2-Dimensional Polyhedral Manifolds
- Critical Points and Curvature for Embedded Polyhedral Surfaces
- A tight polyhedral immersion in three-space of the real projective plane with one handle.
- A tight polyhedral immersion of the twisted surface of Euler characteristic \(-3\)
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