Topics in Modern Differential Geometry

• Corporate Author: SpringerLink (Online service)
• Other Authors: Haesen, Stefan (Editor), Verstraelen, Leopold (Editor)
• Format: Electronic eBook
• Language: English
• Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2017.
• Series: Atlantis Transactions in Geometry ; 1
• Subjects: Mathematics.; Differential geometry.; Differential Geometry.

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 wri...

Table of Contents:

• 1.The Riemannian and Lorentzian Splitting Theorems
• 2.Periodic trajectories of dynamical systems having a one-parameter group of symmetries
• 3.Geometry and Materials
• 4.On deciding whether a submanifold is parabolic or hyperbolic using its mean curvature
• 5.Contact Forms in Geometry and Topology
• 6.Farkas and Janos Bolyai
• 7.Spectrum Estimates and Applications to Geometry
• 8.Variational problems on curves
• 9.Special Submanifolds in Hermitian Manifolds
• 10.An introduction to certain topics on Lorentzian geometry.