Concept
Differential geometry
Related lectures (407)
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Harmonic Forms and Riemann Surfaces
Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.
Differential Forms on Manifolds
Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Acoustic Simulation: Pulsating Sphere
Covers the simulation of acoustic waves in fluids using the Pressure Acoustics, Frequency Domain interface in COMSOL Multiphysics.
Frequency Domain Study: Acoustic Response Analysis
Explores the Frequency Domain study in COMSOL for analyzing acoustic responses to harmonic excitation in various fields.
Meromorphic Functions & Differentials
Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.
Hodge Duality and Covariant Derivatives
Introduces Hodge duality, covariant derivatives, and key concepts in differential geometry.
Radiation Impedance of Piston on Screen
Explores the radiation impedance of a piston on a screen using COMSOL Multiphysics, focusing on resistance, mass, and impedance expressions.
Analytic Manifolds and Berkovich Spaces
Introduces analytic manifolds, Berkovich spaces, and multiplicative semi-norms in K-algebras.