Lecture

Tangent spaces: Linearization of Embedded Submanifolds

Description

This lecture delves into the concept of tangent spaces as collections of free directions of movement on embedded submanifolds. The instructor explains how the kernel of the differential of a local defining function at a point captures the idea of linearization, providing a geometrically satisfying notion of linearization for embedded submanifolds.

Official source

https://mediaspace.epfl.ch/media/0_89vzx4uj

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.

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.