Tensors in Differential Geometry

Creative Commons License Clayton Shonkwiler

SLIDES Tensors in Differential Geometry

Speaker: Clayton Shonkwiler, CSU

Abstract: I will give an introduction to the fundamental role played by tensors in differential geometry, with particular emphasis on the idea of a tensor as a multilinear map. This will include brief cameos by some of the most important tensors in geometry: vector fields, differential forms, Riemannian metrics, and the Riemann and Ricci curvature tensors. Time allowing, I will also present an intriguing tensorial connnection between Plucker coordinates on Grassmann manifolds and projection matrices; this last is joint work with Harrison Chapman.


Tensors in Differential Geometry, Clayton Shonkwiler

TACA 2019. For more visit https://TheTensor.Space/. Creative Commons 2.0 CC-ND 2019 Joshua Grochow.


This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Additional Questions?

If you have additional questions, feel free to reach out to a maintainer / contributor on the contact page.


Noisy Tensors & Machine Learning I & II

Tensors and Operators

Tensor in Quantum I & II

Tensors in Quantum

Related Posts

Tensors
Algebras
Filters
Solvers
Identity
Resources