Geometric measure theory : a beginner's guide
Frank Morgan.
Boston : Academic Press, ©1988.
viii, 145 págs. : ilustraciones ; 24 cm.
ISBN: 0125068557
Incluye referencias bibliográficas (p. 135-137) e índices.
Reseña: MathSciNet, 89f:49036
Contenido
- 1. Geometric measure theory
- 2. Measures
- 3. Lipschitz functions and rectifiable sets
- 4. Normal and rectifiable currents
- 5. The compactness theorem and the existence of area-minimizing surfaces
- 6. Examples of area-minimizing surfaces
- 7. The approximation theorem
- 8. Survey of regularity results
- 9. Monotonicity and oriented tangent cones
- 10. The regularity of area-minimizing hypersurfaces
- 11. Flat chains modulo $\nu$, varifolds, and (M, $\epsilon$, $\delta$)-minimal sets
- 12. Miscellaneous useful results.