Chinese Annals of Mathematics, Series B Tensor Tomography: Progress and Challenges*
Page 1 Chin. Ann. Math. 35B(3), 2014, 399–428 DOI: 10.1007/s11401-014-0834-z Chinese …

Riemannian geometry has today become a vast and important subject. This new book of
Marcel Berger sets out to introduce readers to most of the living topics of the field and …

In this survey, we provide a concise introduction to convex billiards and describe some
recent results, obtained by the authors and collaborators, on the classification of integrable …

The main purpose of this book is to give an exposition of recent results (obtained with the
essential participation of the authors) on geodesic orbit Riemannian manifolds and their …

Abstract Aspect-Oriented Programming (AOP) promises separation of concerns at the
implementation level. However, aspects are not always orthogonal and aspect interaction is …

The systole of a compact metric space $ X $ is a metric invariant of $ X $, defined as the
least length of a noncontractible loop in $ X $. When $ X $ is a graph, the invariant is usually …

Using the notion of magnetic curvature recently introduced by the first author, we extend E.
Hopf's theorem to the setting of magnetic systems. Namely, we prove that if the magnetic …

This is a survey on eigenfunctions of the Laplacian on Riemannian manifolds (mainly
compact and without boundary). We discuss both local results obtained by analyzing …

The paper surveys open problems and questions related to geodesics defined by
Riemannian, Finsler, semi-Riemannian and magnetic structures on manifolds. It is an …

The standard eigenfunctions \phi_λ=e^i⟨λ,x⟩ on flat tori R^n/L have L^∞-norms bounded
independently of the eigenvalue. In the case of irrational flat tori, it follows that L^2 …