Relating diameter and mean curvature for submanifolds of Euclidean space
Work
Year: 2008
Type: article
Abstract: Given a closed m -dimensional manifold \mathcal M immersed in ℝ^n , we estimate its diameter d in terms of its mean curvature \boldsymbol{H} by d ≤ C(m) \int_{\mathcal M} |\boldsymbol{H}|^{m − 1} dμ .
Author Peter M. Topping
Institution University of Warwick
Cites: 8
Cited by: 79
Related to: 10
FWCI: 3.791
Citation percentile (by year/subfield): 97.69
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze