Traceless cubic forms on statistical manifolds and Tchebychev geometry

• Autorzy: Hiroshi Matsuzoe
• Języki publikacji: EN

Abstrakty

EN

Geometry of traceless cubic forms is studied. It is shown that the traceless part of the cubic form on a statistical manifold determines a conformal-projective equivalence class of statistical manifolds. This conformal-projective equivalence on statistical manifolds is a natural generalization of conformal equivalence on Riemannian manifolds. As an application, Tchebychev type immersions in centroaffine immersions of codimension two are studied.

Kategorie tematyczne

• 53A15: Affine differential geometry
• 53A30: Conformal differential geometry
• 53B05: Linear and affine connections
• 53B25: Local submanifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 69
• Numer: 1
• Strony: 179-187

Daty

wydano

2005

Twórcy

autor

Hiroshi Matsuzoe

• Department of Computer Science and Engineering, Graduate School of Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya, 466-8555, Japan

Identyfikatory

DOI

10.4064/bc69-0-13