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Topics in Modern Differential Geometry

  • Book
  • © 2017

Overview

Editors:
  1. Stefan Haesen

    1. Department of Teacher Education, Thomas More University College Department of Teacher Education, Vorselaar, Belgium

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    You can also search for this editor in PubMed   Google Scholar

  2. Leopold Verstraelen

    1. Department of Mathematics, University of Leuven Department of Mathematics, Leuven, Belgium

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • The book provides introductory articles in a variety of topics in differential geometry
  • Up-to-date bibliographies on various topics in differential geometry
  • A special chapter devoted to anisotropic surface energies motivated by liquid crystal surfaces
  • Includes supplementary material: sn.pub/extras

Part of the book series: Atlantis Transactions in Geometry (ATLANTIS, volume 1)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. The Riemannian and Lorentzian Splitting Theorems

    • José Luis Flores
    Pages 1-20

  3. Periodic Trajectories of Dynamical Systems Having a One-Parameter Group of Symmetries

    • Roberto Giambò, Paolo Piccione
    Pages 21-36

  4. Geometry and Materials

    • Bennett Palmer
    Pages 37-48

  5. On Deciding Whether a Submanifold Is Parabolic or Hyperbolic Using Its Mean Curvature

    • Vicente Palmer
    Pages 49-77

  6. Contact Forms in Geometry and Topology

    • Gheorghe Pitiş
    Pages 79-94

  7. Farkas and János Bolyai

    • Mileva Prvanović
    Pages 95-109

  8. Spectrum Estimates and Applications to Geometry

    • G. Pacelli Bessa, L. Jorge, L. Mari, J. Fábio Montenegro
    Pages 111-198

  9. Some Variational Problems on Curves and Applications

    • Angel Ferrández
    Pages 199-222

  10. Special Submanifolds in Hermitian Manifolds

    • Ion Mihai
    Pages 223-258

  11. An Introduction to Certain Topics on Lorentzian Geometry

    • Alfonso Romero
    Pages 259-284
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Teacher Education, Thomas More University College Department of Teacher Education, Vorselaar, Belgium

    Stefan Haesen

  • Department of Mathematics, University of Leuven Department of Mathematics, Leuven, Belgium

    Leopold Verstraelen

Bibliographic Information

  • Book Title: Topics in Modern Differential Geometry

  • Editors: Stefan Haesen, Leopold Verstraelen

  • Series Title: Atlantis Transactions in Geometry

  • DOI: https://doi.org/10.2991/978-94-6239-240-3

  • Publisher: Atlantis Press Paris

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Atlantis Press and the author(s) 2017

  • Hardcover ISBN: 978-94-6239-239-7Published: 30 December 2016

  • eBook ISBN: 978-94-6239-240-3Published: 21 December 2016

  • Series ISSN: 2543-0300

  • Series E-ISSN: 2543-0319

  • Edition Number: 1

  • Number of Pages: VII, 284

  • Number of Illustrations: 26 b/w illustrations, 4 illustrations in colour

  • Topics: Differential Geometry

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