Generalized degree and optimal Loewner-type inequalities

Details Generalized degree and optimal Loewner-type inequalities Generalized degree and optimal Loewner-type inequalities

2004-05-02

arxiv.org/abs/math/0405019v1

Published in Israel J. Math. 141 (2004), 221-233

Mathematics

Differential Geometry

13 pages

Scientific paper

We generalize optimal inequalities of C. Loewner and M. Gromov, by proving lower bounds for the total volume in terms of the homotopy systole and the stable systole. Our main tool is the construction of an area-decreasing map to the Jacobi torus, streamlining and generalizing the construction of the first author in collaboration with D. Burago. It turns out that one can successfully combine this construction with the coarea formula, to yield new optimal inequalities.

Affiliated with

Also associated with

No associations

Rating

Generalized degree and optimal Loewner-type inequalities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized degree and optimal Loewner-type inequalities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized degree and optimal Loewner-type inequalities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-489606