Riemannian Geometry
Riemannian Geometry, proposed by Riemann in his Habilitation Lecture 1953, is the study of geometric properties of manifolds M, a (curved) n-dimensional space, together with a way of measuring length on M– the Riemannian metric.
In this rather introductory course to differential geometry, I will cover the following:
Definition and first examples of Riemannian manifolds
Connections, Geodesics
Hopf-Rinow Theorem
Riemann curvature tensor
Jacobi Fields
Bonnet-Meyers Theorem
Synge Theorem
Comparison theorems for triangles (Topogonov)
Classification of space forms
Classification of Surfaces
In this rather introductory course to differential geometry, I will cover the following:
Definition and first examples of Riemannian manifolds
Connections, Geodesics
Hopf-Rinow Theorem
Riemann curvature tensor
Jacobi Fields
Bonnet-Meyers Theorem
Synge Theorem
Comparison theorems for triangles (Topogonov)
Classification of space forms
Classification of Surfaces
Lecturer
Date
21st September ~ 19th December, 2023
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Monday,Tuesday | 12:30 - 14:15 | A3-4-312 | ZOOM A | 388 528 9728 | BIMSA |
Video Public
Yes
Notes Public
Yes
Lecturer Intro
Lynn Heller studied economics at the FU Berlin and Mathematics at TU Berlin from 2003-2007 and obtained her PhD in mathematics from Eberhard Karls University Tübingen in 2012. Before joining BIMSA she was juniorprofessor at Leibniz University in Hannover.
For the period 2025-2028 Lynn Heller is serving as a member of the Committee on Electronic Information and Communication (CEIC) of the International Mathematical Union (IMU).
For the period 2025-2028 Lynn Heller is serving as a member of the Committee on Electronic Information and Communication (CEIC) of the International Mathematical Union (IMU).