380 citations
- Syracuse UniversityUS22 papers
- Bates CollegeUS3 papers
- Boston CollegeUS2 papers
- Shanghai Jiao Tong UniversityCN2 papers
- University of California, BerkeleyUS2 papers
- University of Wisconsin–MadisonUS2 papers
- Australian Mathematical Sciences InstituteAU1 paper
- Australian National UniversityAU1 paper
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- Center for Astrophysics Harvard & SmithsonianUS1 paper
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35 papers
Global invertibility of Sobolev mappings with prescribed homeomorphic boundary values
Sabrina Traver
Let be Lipschitz domains, and suppose there is a homeomorphism . We consider the class of Sobolev mappings $f \in…
A sharp bound on the number of self-intersections of a trigonometric curve
Sergei Kalmykov, Leonid V. Kovalev
We obtain a sharp bound on the number of self-intersections of a closed planar curve with trigonometric parameterization. Moreover, we show that a generic curve of this form is nor…
Anti-absorbing ternary operations on metric spaces
Leonid V. Kovalev
The existence of a median-type ternary operation on a metric space is known to have a number of implications for the geometry of the space. For such operations, if two of the three…
Generalized Loewy length of Cohen-Macaulay local and graded rings
Richard Bartels
We generalize a theorem of Ding relating the generalized Loewy length and index of a one-dimensional Cohen-Macaulay local ring . Ding prov…
Lipschitz means and mixers on metric spaces
Leonid V. Kovalev
The standard arithmetic measures of center, the mean and median, have natural topological counterparts which have been widely used in continuum theory. In the context of metric spa…
Holonomy restrictions from the curvature operator of the second kind
Jan Nienhaus, Peter Petersen, Matthias Wink +1
We show that an -dimensional Riemannian manifold with -nonnegative or -nonpositive curvature operator of the second kind has restricted holonomy or is flat. The re…