Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • Finsler Warped Product Metrics of Douglas Type

  • Part of
  • Huaifu Liu, Xiaohuan Mo
  • Journal:
    Canadian Mathematical Bulletin / Volume 62 / Issue 1 / March 2019
    Published online by Cambridge University Press:
    04 January 2019, pp. 119-130
    Print publication:
    March 2019
    • Article
      • You have access
    • PDF
    • Export citation

  • In this paper, we study the warped structures of Finsler metrics. We obtain the differential equation that characterizes Finsler warped product metrics with vanishing Douglas curvature. By solving this equation, we obtain all Finsler warped product Douglas metrics. Some new Douglas Finsler metrics of this type are produced by using known spherically symmetric Douglas metrics.

  • A NEW QUANTITY IN RIEMANN-FINSLER GEOMETRY*

  • XIAOHUAN MO, ZHONGMIN SHEN, HUAIFU LIU
  • Journal:
    Glasgow Mathematical Journal / Volume 54 / Issue 3 / September 2012
    Published online by Cambridge University Press:
    30 March 2012, pp. 637-645
    Print publication:
    September 2012
    • Article
      • You have access
    • PDF
    • Export citation

  • In this note, we study a new Finslerian quantity Ĉ defined by the Riemannian curvature. We prove that the new Finslerian quantity is a non-Riemannian quantity for a Finsler manifold with dimension n = 3. Then we study Finsler metrics of scalar curvature. We find that the Ĉ-curvature is closely related to the flag curvature and the H-curvature. We show that Ĉ-curvature gives, a measure of the failure of a Finsler metric to be of weakly isotropic flag curvature. We also give a simple proof of the Najafi-Shen-Tayebi' theorem.