The Shape of Differential Geometry in Geometric Calculus
- David Hestenes
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We review the foundations for coordinate-free differential geometry in Geometric Calculus. In particular, we see how both extrinsic and intrinsic geometry of a manifold can be characterized by a single bivector-valued one-form called the Shape Operator. The challenge is to adapt this formalism to Conformal Geometric Algebra for wide application in computer science and engineering.
- The Shape of Differential Geometry in Geometric Calculus
- Book Title
- Guide to Geometric Algebra in Practice
- pp 393-410
- Print ISBN
- Online ISBN
- Springer London
- Copyright Holder
- Springer-Verlag London Limited
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