Math 623, Fall 15:
Differential Geometry II
Meeting: MWF 12:40-1:30pm Blocker 202
Office hours Tues. 10:30-11:30, Wed. 10-11 or by appointment
Instructor: Joseph (JM) Landsberg

 

 

 
E-mail: jml@math.tamu.edu please include "623" in the subject line when emailing me
 
my cv

E-mail. I will be contacting the class though the TAMU e-mail system. 

Prerequisites. Math 622.

Course text.   Cartan for  Beginners, Ivey and Landsberg, AMS some errata here, as well as notes to be distributed to the class.
Course description: This is the second semester of a year-long graduate course in differential geometry.

Material. Topics in differential geometry  as described below .


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%)
Assignments will usually consist of 3 problems

Weekly homework assignments and announcements
Due Wed. 9/9 :  CFB A.1.10 plus any two of 1.6.14.1, 1.6.14.7, A.4.8.1, A.4.8.2,
(extra classes 9/9,9/16 9am Bloc 628)
Due Friday 9/18:  CFB 1.7.3(parts a,b) , 2.4.3, 2.5.4.3
Due Friday 9/25:   Handout 2.6.20.3, 2.6.20.8,  
Due Friday 10/2: Do all of these  four problems from the new handout: 3.1.5.3,3.1.7,3.2.3.1, 3.2.3.3
Due Friday 10/9: These three problems
Due Monday 10/19: new handout 3.3.6, 3.4.3.2,3.4.3.3,3.5.2.3
No class Monday 10/5 or Wed. 10/7 (class meets Friday 10/9)
No class 10/12, 10/14, 10./16, 10/28,10/30 (extra classes 10/21,10/26,11/4,11/11  all 9am Bloc 628)
Due Monday 10/26 3.5.2.3 from notes (compute Ric^0,s and W as well)
Due Monday 11/2 from notes: 9.1.11,9.2.8.1,9.2.8.3
Due Friday 11/13 from notes 4.4.2.1,4.4.2.2, 4.4.4.1, 4.5.6.4
Due Friday 11/20 from notes 4.6.9, 4.6.13+ CFB A.5.2
Last Homework due Wed. 12/9: from notes 5.1.3,5.1.4, 5.2.1

last class Wed. Dec. 9
 

Topics  (tenative)
I: Moving frames  and submanifolds of homogeneous spaces
II: Riemannian geometry 
III: Geometric structures and connections, holonomy
IV: Conformal differential geometry
Futher topics to be decided by the interests of the class.
 
 
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.
 

Americans with Disabilities Act (ADA) Policy Statement

The following ADA Policy Statement (part of the Policy on Individual Disabling Conditions) was submitted to the University Curriculum Committee by the Department of Student Life. The policy statement was forwarded to the Faculty Senate for information.

The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact the Department of Student Life, Disability Services Office, in Room B116 of Cain Hall or call 862-4570.

Academic Integrity Statement

“An Aggie does not lie, cheat, or steal or tolerate those who do.” All syllabi shall contain a section that states the Aggie Honor Code and refers the student to the Honor Council Rules and Procedures on the web http://www.tamu.edu/aggiehonor