Pullback (differential geometry)

Related lectures (18)

Page 2 of 2

Explores permutations, signature, and alternating multilinear forms in vectors.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Explores modular forms, discussing pullback maps, meromorphic differentials, and the Riemann-Roch theorem.

Discusses linear Lie groups, their definitions, properties, and the relationship between integral curves and vector fields.

Covers multilinear forms in n variables over a k-vector space, emphasizing notation and applications.

Introduces differentiating vector fields along curves on manifolds with connections and the unique operator satisfying specific properties.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Covers limits and colimits, focusing on equalizers and coequalizers in category theory.