Topics in Modern Differential Geometry

Front Cover
Stefan Haesen, Leopold Verstraelen
Springer, Dec 21, 2016 - Mathematics - 284 pages
A 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.
 

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Contents

The Riemannian and Lorentzian Splitting Theorems
1
Periodic Trajectories of Dynamical Systems Having a OneParameter Group of Symmetries
21
Geometry and Materials
37
On Deciding Whether a Submanifold Is Parabolic or Hyperbolic Using Its Mean Curvature
49
Contact Forms in Geometry and Topology
79
Farkas and JŠnos Bolyai
95
Spectrum Estimates and Applications to Geometry
110
Some Variational Problems on Curves and Applications
199
Special Submanifolds in Hermitian Manifolds
223
An Introduction to Certain Topics on Lorentzian Geometry
259
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