Computational Manifolds and Applications

Trimester Program, IMPA, Rio de Janeiro, Brazil
September--November 2011

Lecturers

Jean Gallier, University of Pennsylvania
Gustavo Nonato, Universidade de Sao Paulo, Brazil
Luiz Vehlo, IMPA, Rio de Janeiro, Brazil
Marcelo Siqueira, Universidade Federal do Rio Grande do Norte, Brazil

Slides

• Course Overview (pdf)
• Part 1 - Foundations. Curves. (pdf)
• Part 1 - Foundations. Review of Multivariate Calculus. (pdf)
• Part 1 - Foundations. Surfaces. (pdf)
• Part 1 - Foundations. Manifolds embedded in R^N. (pdf)
• Part 1 - Foundations. Manifolds. (pdf)
• Part 1 - Foundations. Manifolds. (pdf)
• Part 1 - Foundations. Parametric Pseudo-Manifolds. (pdf)
• Part 1 - Constructions. Parametric Pseudo-Manifolds
  (Reconstruction). (pdf)
• Part 1 - Constructions. Parametric Pseudo-Manifolds
  (Gluing data and p-domains). (pdf)
• Part 1 - Constructions. Parametric Pseudo-Manifolds
  (Gluing data. Canonical domain). (pdf)
• Part 1 - Constructions. Parametric Pseudo-Manifolds
  (Transition maps). (pdf)
• Part 1 - Constructions. Parametric Pseudo-Manifolds
  (More on Transition Maps. Grimm's construction). (pdf)
• Part 1 - Constructions. Parametric Pseudo-Manifolds
  (Building parametrizations). (pdf)
• Part 1 - Constructions. Parametric Pseudo-Manifolds
  (The user's perspective. Zorin's construction). (pdf)
• Part 2 - Splines, Subdivision and Manifolds. (pdf)
• Part 2 - Applications of Manifolds and Reseach Challenges. (pdf)
• Part 2 - Differential Operators on Manifolds, (pdf)
• Part 2 - Manifolds Harmonics. (pdf)

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published by:

Jean Gallier