172 citations
- Russian Academy of SciencesRU4 papers
- Bar-Ilan UniversityIL3 papers
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- Indiana University – Purdue University IndianapolisUS1 paper
- Institut de Recherche Mathématique AvancéeFR1 paper
- Istituto Nazionale di Fisica Nucleare, Sezione di FirenzeIT1 paper
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4 papers · 1 filter
Remarks on Chebyshev coordinates
Yu. Burago, S. Ivanov, S. Malev
Some results on existence of global Chebyshev coordinates on a Riemannian manifold or, more generally, on Aleksandrov surface are proved. For instance, if the positive and the nega…
Boundary case of equality in optimal Loewner-type inequalities
Victor Bangert, Christopher Croke, Sergei V. Ivanov +1
We prove certain optimal systolic inequalities for a closed Riemannian manifold (X,g), depending on a pair of parameters, n and b. Here n is the dimension of X, while b is its firs…
Generalized degree and optimal Loewner-type inequalities
Sergei V. Ivanov, Mikhail G. Katz
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…
Filling area conjecture and ovalless real hyperelliptic surfaces
Victor Bangert, Christopher Croke, Sergei V. Ivanov +1
We prove the filling area conjecture in the hyperelliptic case. In particular, we establish the conjecture for all genus 1 fillings of the circle, extending P. Pu's result in genus…