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Geometry of Differential Forms Shigeyuki Morita
Publisher: American Mathematical Society

I need the applications of differential geometry to image analysis and processing, and in the connections to calculus of variations, PDE and numerical analysis. The theories of quadratic forms and determinants. Introduction to Differential Geometry,” 3rd ed., Publish or Perish, 1999. (redirected from Quadratic Differential Form) 0.01 sec.. Let 𝔤 be some Lie 2-algebra. Contents look very promising: begins directly with manifold definition, proceed with structures, include PDE, tensors, differential forms, Lie groups, and topology. Veblen, Invariants of Quadratic Differential Forms. Finally, I'd like to read books/papers like “Geometric Partial Differential . When the underlying principal 2-bundle over a smooth manifold X is topologically trivial, then the connections on it are identified with Lie 2-algebra valued differential forms on X . Examples of 2-connections with vanishing 2-form curvature obtained from geometric quantization are discusssed in. Olivier Brahic, On the infinitesimal Gauge Symmetries of closed forms (arXiv). Recall from the discussion there what such form data looks like.