Lecture

All things Riemannian: metrics, (sub)manifolds and gradients

In course

Laborum commodo labore id adipisicing esse. Nulla enim nulla aute veniam pariatur consequat aute. Eiusmod do et aute consequat exercitation sunt ut quis qui veniam nulla eiusmod. Nisi reprehenderit tempor commodo aute proident aute velit ullamco.

Description

This lecture covers the definition of retraction, open submanifolds, local defining functions, tangent spaces, smooth curves, Riemannian metrics, smooth vector fields, and Euclidean spaces with inner products.

Official source

https://mediaspace.epfl.ch/media/0_8cr0hld9

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Geometry: Differential geometry, Euclidean geometry

Related lectures (58)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.