Haesen S., Verstraelen L. (Eds.) Topics in Modern Differential Geometry

Atlantis Press, Netherlands, 2017. — 289 p. — (Atlantis Transactions in Geometry. Volume 1) — ISBN: 9462392390A variety of introductory articles is provided on a wide range of topics, including variational problems on curves and surfaces with anisotropic curvature. Experts in the fields of Riemannian, Lorentzian and contact geometry present state-of-the-art reviews of their topics. The contributions are written on a graduate level and contain extended bibliographies. The ten chapters are the result of various doctoral courses which were held in 2009 and 2010 at universities in Leuven, Serbia, Romania and Spain.The Riemannian and Lorentzian Splitting Theorems
Periodic Trajectories of Dynamical Systems Having a One-Parameter Group of Symmetries
Geometry and Materials
On Deciding Whether a Submanifold Is Parabolic or Hyperbolic Using Its Mean Curvature
Contact Forms in Geometry and Topology
Farkas and János Bolyai
Spectrum Estimates and Applications to Geometry
Some Variational Problems on Curves and Applications
Special Submanifolds in Hermitian Manifolds
An Introduction to Certain Topics on Lorentzian Geometry