Rao distances and conformal mapping

Arni S.R. Srinivasa Rao, Steven G. Krantz

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this chapter, we have described the Rao distance (due to C.R. Rao) and ideas of conformal mappings on 3D objects with angle preservations. Three propositions help us to construct distances between the points within the 3D objects in R3 and line integrals within complex planes. We highlight application of these concepts to virtual tourism.

Original languageEnglish (US)
Title of host publicationInformation Geometry
EditorsAngelo Plastino, Angelo Plastino, Arni S.R. Srinivasa Rao, C.R. Rao
PublisherElsevier B.V.
Pages43-56
Number of pages14
ISBN (Print)9780323855679
DOIs
StatePublished - Jan 2021

Publication series

NameHandbook of Statistics
Volume45
ISSN (Print)0169-7161

Keywords

  • Angle preservations
  • Complex analysis
  • Conformal mapping
  • Differential geometry
  • Probability density functions
  • Riemannian metric
  • Virtual tourism

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

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