 |
MAT 569 |
Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: T 2:00-3:30, Θ 4:00-5:00.
|
MAT 569 |
Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: T 2:00-3:30, Θ 4:00-5:00.
This course constitutes the second half of our department's two-semester
introduction to
Riemannian geometry. After first deepening your basic
understanding of Riemannian metrics, connections, and curvature, we
will then go on to systematically explore the interplay between
topology and curvature.
Prerequisite: MAT 568, or the professor's explicit permission.
Exercises for you to work out on your own will frequently be suggested in class. You are urged to try to understand these in considerable detail. Keep in mind that learning how to calculate is essential for any genuine understanding of this subject!
In addition, two or three formal homework assignments will be posted on this web-page during the course of the semester. These will be collected on the indicated due-dates, and will significantly contribute to your grade in this course. Class participation will be the other main contributor to your course grade.
The Professor may be reached by e-mail at . This is the best method for making appointments outside normal office hours.
STUDENT ACCESSIBILITY SUPPORT SERVICES (SASC) STATEMENT: If you have a physical, psychological, medical, or learning disability that might impact your course work, please contact the Student Accessibility Support Center, Stony Brook Union Suite 107, at (631) 632-6748 or https://www.stonybrook.edu/sasc/. They will determine, with you, what accommodations are necessary and appropriate. All information and documentation will be treated as confidential.
ACADEMIC INTEGRITY STATEMENT: Students must pursue their academic goals honestly, and everyone must be personally accountable for all submitted work. Representing another person's work as your own is always wrong. The Academic Judiciary requires faculty members to report any suspected instances of academic dishonesty. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website at https://www.stonybrook.edu/commcms/academic_integrity/.
CRITICAL INCIDENT MANAGEMENT: Stony Brook University expects students to respect the rights, privileges, and property of other people. The Office of Judicial Affairs requires faculty members to report to any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn.
Illustration: Boy's surface arising from a minimal immersion of ℝℙ2 into S3.