Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Geometria Diferencial de Curvas e Superfícies - Aula 17

Instituto de Matemática Pura e Aplicada via YouTube

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore a comprehensive graduate-level lecture on Differential Geometry of Curves and Surfaces, delivered by Professor Lucas Ambrozio as part of the 2023 Summer School at the Instituto de Matemática Pura e Aplicada. Delve into advanced topics including curves in plane and space, length, curvature, torsion, surfaces in R3, parameterizations, coordinate changes, tangent planes, fundamental forms, Gaussian and mean curvatures, the Gauss normal map, principal curvatures, asymptotic lines, and intrinsic vs. extrinsic geometry. Examine key theorems such as the sphere rigidity theorem, Alexandrov's theorem, Gauss's Theorema Egregium, and the Gauss-Bonnet theorem. Prerequisite knowledge of the inverse function theorem in Rn and basic topology of Rn space is recommended. Access additional resources, including a full video playlist and recommended textbooks, to further enhance your understanding of this complex mathematical subject.

Syllabus

(13/02/2023) - Mestrado: Geometria Diferencial de Curvas e Superfícies - Lucas Ambrozio - Aula 17

Taught by

Instituto de Matemática Pura e Aplicada

Reviews

Start your review of Geometria Diferencial de Curvas e Superfícies - Aula 17

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.