Geometria Diferencial de Curvas e Superfícies - Aula 02
Explore curvas e superfícies em R3, incluindo curvatura, torção, formas fundamentais e teoremas globais. Aprofunde-se na geometria diferencial com aplicações e tópicos avançados.
Geometria Diferencial de Curvas e Superfícies - Aula 01
Explore differential geometry of curves and surfaces, covering topics like curvature, geodesics, and the Gauss-Bonnet theorem. Gain insights into intrinsic and extrinsic geometry.
Curvature for the General Paraboloid - Differential Geometry - NJ Wildberger
Novel approach to surface curvature using projective geometry and linear algebra. Explores paraboloid curvature through characteristic polynomials, offering insights for higher-dimensional generalizations.
New Complex Analytic Methods in the Theory of Minimal Surfaces - Franc Forstnerič
Explore recent developments in minimal surface theory using complex analytic methods, covering global theory, Calabi-Yau problem, and complex Gauss map applications.
Mean Curvature and Variational Theory
Explores recent developments in prescribing mean curvature equations, focusing on existence theory, min-max theory for CMC/PMC surfaces, and Morse theory for area functional. Includes solution to Multiplicity One Conjecture.
More General Surfaces in Differential Geometry - Lecture 22
Explores advanced surface types in differential geometry, including ruled and developable surfaces, minimal surfaces, algebraic surfaces, and projective constructions, with historical context and mathematical insights.
Equivariant Minimal Surfaces in Symmetric Spaces via Higgs Bundles - Lecture 3
Explore equivariant minimal surfaces in symmetric spaces using Higgs bundles. Advanced mathematical concepts for researchers in geometry and topology.
Equivariant Minimal Surfaces in Symmetric Spaces via Higgs Bundles - Lecture 1
Explore equivariant minimal surfaces in symmetric spaces using Higgs bundles. Expert-led lecture delves into advanced mathematical concepts, ideal for researchers in differential geometry.
The Clever Way Curvature is Described in Math - Gaussian and Mean Curvatures
Explore Gaussian and mean curvatures in differential geometry, focusing on the shape operator to understand surface curvature and its applications in minimal surfaces.
Physics of Biological Membranes
Explore the physics of biological membranes, covering lipid bilayers, surface energy, curvature, fluctuations, and non-equilibrium processes in this comprehensive lecture on membrane biophysics.
S-embeddings and Discrete Maximal Lorentz Surfaces
Explore s-embeddings and discrete maximal Lorentz surfaces in this advanced mathematics talk, focusing on isothermic surfaces, mean curvature, and associated families in discrete geometry.