Dually Flat Randers Metrics

Xinyue Cheng () and Zhongmin Shen ()
Additional contact information
Xinyue Cheng: Chongqing University of Technology, School of Mathematics and Statistics
Zhongmin Shen: Indiana University-Purdue University Indianapolis (IUPUI), Department of Mathematical Sciences

Chapter Chapter 10 in Finsler Geometry, 2012, pp 137-147 from Springer

Abstract: Abstract The notion of dually flat metrics was first introduced by Amari and Nagaoka ([AmNa]) when they study the information geometry on Riemann spaces. Later on, Shen extends the notion of dually flatness to Finsler metrics ([Sh]). Locally dually flat Finsler metrics are studied in Finsler information geometry and naturally arise from the investigation on so-called flat information structure.

Keywords: Open Subset; Scalar Function; Riemann Space; Irreducible Polynomial; Finsler Space (search for similar items in EconPapers)
Date: 2012
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-24888-7_10

Ordering information: This item can be ordered from
http://www.springer.com/9783642248887

DOI: 10.1007/978-3-642-24888-7_10

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().