If this is the first course in Differential geometry, you should not go further than Gauss--Bonnet for surfaces. (I would not even consider anything with dimension >2.)

You can cover more but there is no reason to force your students. At the level of Gauss--Bonnet they have enuf to play with and if they like Differential geometry, they could take another course.

If this is the first course in Differential geometry, you should not go further than Gauss--Bonnet for surfaces. I would not even consider anything with dimension >2. By the way here is our textbook on the subject. If they like Differential geometry, they could take another course.

If you cover more, then it is easy to produce lammers. If you skip these topics, then (most likely) your student will have no idea what is differential geometry at the end of the course.

If this is the first course in diffgeometry, you should not go further than Gauss--Bonnet for surfaces. (I would not even consider anything with dimension >2.)

You can cover more but there is no reason to force your students. At the level of Gauss--Bonnet they have enough to play with and if they like diffgeometry, they could take an other course.

If this is the first course in Differential geometry, you should not go further than Gauss--Bonnet for surfaces. (I would not even consider anything with dimension >2.)

You can cover more but there is no reason to force your students. At the level of Gauss--Bonnet they have enuf to play with and if they like Differential geometry, they could take another course.