메뉴 건너뛰기




Volumn 27, Issue 2, 1998, Pages 409-421

On realization of conformally-projectively flat statistical manifolds and the divergences

Author keywords

Centroaffine immersions; Conformally flatness; Divergences; Statistical manifolds

Indexed keywords


EID: 84979885060     PISSN: 03854035     EISSN: None     Source Type: Journal    
DOI: 10.14492/hokmj/1351001292     Document Type: Article
Times cited : (28)

References (11)
  • 1
    • 67649994589 scopus 로고
    • Affine immersions and conjugate connections
    • Abe N., Affine immersions and conjugate connections. Tensor, 55 (1994), 276-280.
    • (1994) Tensor , vol.55 , pp. 276-280
    • Abe, N.1
  • 2
    • 0003658081 scopus 로고
    • Differential-Geometrical Methods in Statistics, Springer
    • Amari S. Differential-Geometrical Methods in Statistics. Springer Lecture Notes in Statistics 28, Springer, 1985.
    • (1985) Springer Lecture Notes in Statistics , vol.28
    • Amari, S.1
  • 3
    • 0000948453 scopus 로고
    • Conjugate connections and radon’s theorem in affine differential geometry
    • Dillen F., Nomizu K. and Vranken L., Conjugate connections and radon’s theorem in affine differential geometry. Monatsh. Math. 109 (1990), 221-235.
    • (1990) Monatsh. Math , vol.109 , pp. 221-235
    • Dillen, F.1    Nomizu, K.2    Vranken, L.3
  • 4
    • 84972567325 scopus 로고
    • Geometry of minimum contrast
    • Eguchi S., Geometry of minimum contrast. Hiroshima Math. J. 22 (1992), 631-647.
    • (1992) Hiroshima Math. J , vol.22 , pp. 631-647
    • Eguchi, S.1
  • 5
    • 0040406350 scopus 로고
    • On dual-projectively flat affine connections
    • Ivanov S., On dual-projectively flat affine connections. Journal of Geometry 53 (1995), 89-99.
    • (1995) Journal of Geometry , vol.53 , pp. 89-99
    • Ivanov, S.1
  • 6
    • 51249177151 scopus 로고
    • Dual connections and affine geometry
    • Kurose T., Dual connections and affine geometry. Math. Z. 203 (1990), 115-121.
    • (1990) Math. Z , vol.203 , pp. 115-121
    • Kurose, T.1
  • 7
    • 85035262672 scopus 로고
    • On the realization of statistical manifolds in affine space
    • Kurose T., On the realization of statistical manifolds in affine space, preprint, 1991.
    • (1991) Preprint
    • Kurose, T.1
  • 8
    • 84972560524 scopus 로고
    • On the divergences of 1-conformally flat statistical manifolds
    • Kurose T., On the divergences of 1-conformally flat statistical manifolds. Tôhoku Math. J. 46 (1994), 427-433.
    • (1994) Tôhoku Math. J , vol.46 , pp. 427-433
    • Kurose, T.1
  • 9
    • 84972544474 scopus 로고
    • Centroaffine immersions of codimension two and projective hypersurface theory, Nagoya
    • Nomizu K. and Sasaki T., Centroaffine immersions of codimension two and projective hypersurface theory, Nagoya Math. J. 132 (1993), 63-90.
    • (1993) Math. J , vol.132 , pp. 63-90
    • Nomizu, K.1    Sasaki, T.2
  • 11
    • 0000676753 scopus 로고
    • Centroaffine differential geometry: Submanifolds of codimension 2
    • Walter R., Centroaffine differential geometry: submanifolds of codimension 2. Results in Math. 13 (1988), 386-402.
    • (1988) Results in Math , vol.13 , pp. 386-402
    • Walter, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.