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 instructor.
Course text. Riemannian Geometry and Geometric Analysis, J. Jost, Springer 5th ed.
Material. Riemannian manifolds, covariant differentiation, curvature, holonomy, de Rham cohomology, geodesics, Lie groups, homogeneous spaces.
Additional references that you may like to consult include:
Homework solutions will be linked to the exercises below as they become available.
| Homework | ||
| HW Supplement (HWS) | ||
| Section | Exercises | Due |
| HWS | 8.3, 8.4, 8.5, 10.1, 10.2. | Sep 20 |
| HWS | 10.7 - 10.11, 6.10. | Sep 27 |
| HWS | 10.8, 10.11 - 10.15. | Oct 06 |
| Cohomology -- Solutions | Oct 20 | |
| Jost, Ch. 2 | 2, 3, 4, 7. | Oct 27 |
| Lemmas from lecture. | Nov 05 | |
| IL 1.9 | 4, 7(a,b), 9, 11, 16(a,c), 19. | Nov 10 |
| IL 4.5 | Ex. 9: 1-3. | Nov 17 |
| IL 5 | Ex. 1.2, 4.4. | |
| IL 5 | 5.4, 5.5. | Nov 24 |
| IL 5.8 | 12; any four of 3, 7, 15, 16.1, 16.2, 16.3. | Dec 07 |
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