Math 157a  
Riemannian
Geometry


Fall 201415  

Instructor:
Maria Trnkova, 280 Sloan, 6263954369, mtrnkova at caltech.edu

Feedback
Form



09/26/14 If you find the course schedules inconvenient we can work on
it and shift to 10:30 am. 
10/29/14 The due date of the HW2 was postponed for one week. 
10/30/14 I will add topics for the oral presentation here. 

The goal of the course is
to define basic concepts of Riemannian Geometry (metric, connection,
geodesics, curvature, completeness, exponential map), to study the
relationships between geodesics and curvature (Jacobi field) and
connection between local and global properties of Riemannian Manifolds
(e.g. HopfRinow, Hadamard Theorems). We also consider spaces of
constant curvature. 

Grading: Grading is based on home works.
Homework
Policy: There will be five home works (every
second week). One home work can be replaced by an oral presentation for
~20 minutes of a topic in Riemannian Geometry. Collaborations are
allowed but write your own solution. 

1) Gallot, Hulin and
Lafontaine, Riemannian Geometry, SpringerVerlag, Universitext, 3rd
edition or later. ISBN13: 9783540204930, ISBN10: 3540204938, 2004. 






