Math 623, Fall 11:
Differential Geometry II
Meeting: MWF 1:50-2:40 Blocker 624

Instructor: Joseph (JM) Landsberg


Office: Milner 329


E-mail: jml@math.tamu.edu please include "623" in the subject line when emailing me
office hours: Mon. 11-12, Thurs. 10:30-11:30 and by appointment
my cv

E-mail. I will be contacting the class though the TAMU e-mail system. Be sure to check your neo.tamu.edu account regularly, or have those e-mails forwarded to your preferred account.

Prerequisites. Math 622 or permission of the instructor.

Course text.  Jost, Riemannian Geometry and Geometric Analysis (available free online)
 
Course description: This is the second semester of a year-long graduate course in differential geometry.

Material. We will follow Jost's book, starting with chapter 1 at a pace suitable for the class.

Additional references that you may like to consult include:

 
Grade complaints: If you think a homework   was graded incorrectly you
have one week from the time the graded assignment was returned to you to bring the
issue to the instructor's attention. No complaints after that time will be considered.
  

Grading policy: Weekly homework assignments  100% of grade

Homework assignments:
due Sept. 9:  Jost ch1 problems 3,5,6
due Sept 16: Jost ch 1 problem 7, plus show SU(2) is diffeomorphic to the 3-sphere,
that SO(3) is diffeomorphic to RP^3 (projective 3-space),  and construct an explicit
surjective Lie group homomorphism from SU(2) to SO(3).
due Sept. 23: click here for assignment
due Sept. 30: click here
due Oct. 7: Show the two constructions of a connection on a vector bundle each satisfy the properties
of the definition in Jost (p114 in online edition you can click above).
due Oct. 14: click here
due Monday Oct. 24: click here
due Monday Oct. 31 here
due Friday Nov. 11 here
due Monday Nov. 28 here
due Monday Dec. 5 here, and  reading here
  
 
Policy regarding absences related to injury or illness: All such absences will be excused
if sufficient documentation is provided as per University policy and
the instructor will help the student make up any missed material.
 

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Academic Integrity Statement

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