Skip to main content
SpringerLink
Log in

Projectively Flat Spherically Symmetric Metrics

  • Chapter
  • First Online:
The Geometry of Spherically Symmetric Finsler Manifolds

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

  • 383 Accesses

Abstract

It has been slightly more than one hundred years since David Hilbert presented a list of 23 outstanding and important problems to the second International Congress of Mathematician in Paris in 1900.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. H. Alzer, Error function inequalities. Adv. Comput. Math. 33, 349–379 (2010)

    Article  MathSciNet  Google Scholar 

  2. J. Douglas, The general geometry of paths. Ann. Math. 29, 143–168 (1927–1928)

    Article  MathSciNet  Google Scholar 

  3. L. Huang, Navigation problem on Finsler manifold and its applications, Ph.D. thesis (2008)

    Google Scholar 

  4. L. Huang, X. Mo, Projectively flat Finsler metrics with orthogonal invariance. Ann. Polon. Math. 107, 259–270 (2013)

    Article  MathSciNet  Google Scholar 

  5. S.-M. Jung, Hyers-Ulam stability for Gegenbauer differential equations. Electron. J. Differ. Equ. 156, 8 (2013)

    MathSciNet  MATH  Google Scholar 

  6. H. Liu, X. Mo, Examples of Finsler metrics with special curvature properties. Math. Nachr. 288, 1527–1537 (2015)

    Article  MathSciNet  Google Scholar 

  7. J.L. Lopez, S.E. Perez, The role of the error function in a singularly perturbed convection-diffusion problem in a rectangle with corner singularities. Proc. R. Soc. Edinb. Sect. A 137, 93–109 (2007)

    Article  MathSciNet  Google Scholar 

  8. M. Matsumoto, Projective changes of Finsler metrics and projectively flat Finsler spaces. Tensor N. S. 34, 303–315 (1980)

    MathSciNet  MATH  Google Scholar 

  9. X. Mo, On some projectively flat Finsler metrics in terms of hypergeometric functions. Isr. J. Math. 184, 59–78 (2011)

    Article  MathSciNet  Google Scholar 

  10. X. Mo, C. Yu, On some explicit constructions of Finsler metrics with scalar flag curvature. Can. J. Math. 62, 1325–1339 (2010)

    Article  MathSciNet  Google Scholar 

  11. Z. Shen, G.C. Yildirim, On a class of projectively flat metrics with constant flag curvature. Can. J. Math. 60, 443–456 (2008)

    Article  MathSciNet  Google Scholar 

  12. H. Zhu, A class of Finsler metrics of scalar curvature. Differ. Geom. Appl. 40, 321–331 (2015)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Applied Sciences, Beijing University of Technology, Beijing, Beijing, China

    Enli Guo

  2. School of Mathematical Sciences, Peking University, Beijing, Beijing, China

    Xiaohuan Mo

Authors
  1. Enli Guo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xiaohuan Mo
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2018 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd., part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Guo, E., Mo, X. (2018). Projectively Flat Spherically Symmetric Metrics. In: The Geometry of Spherically Symmetric Finsler Manifolds. SpringerBriefs in Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-13-1598-5_5

Download citation

Publish with us

Policies and ethics

Search

Navigation