On the projective geometry of K -spreads

Kentaro Yano; Hitosi Hiramatu

Compositio Mathematica (1952)

  • Volume: 10, page 286-296
  • ISSN: 0010-437X

How to cite

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Yano, Kentaro, and Hiramatu, Hitosi. "On the projective geometry of $K$-spreads." Compositio Mathematica 10 (1952): 286-296. <http://eudml.org/doc/88792>.

@article{Yano1952,
author = {Yano, Kentaro, Hiramatu, Hitosi},
journal = {Compositio Mathematica},
keywords = {Riemannian manifolds},
language = {eng},
pages = {286-296},
publisher = {Kraus Reprint},
title = {On the projective geometry of $K$-spreads},
url = {http://eudml.org/doc/88792},
volume = {10},
year = {1952},
}

TY - JOUR
AU - Yano, Kentaro
AU - Hiramatu, Hitosi
TI - On the projective geometry of $K$-spreads
JO - Compositio Mathematica
PY - 1952
PB - Kraus Reprint
VL - 10
SP - 286
EP - 296
LA - eng
KW - Riemannian manifolds
UR - http://eudml.org/doc/88792
ER -

References

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  1. J. Douglas [1] Systems of K-dimensional manifolds in an N-dimensional space. Math. Ann., 105 (1931), 707—733. Zbl0003.16902JFM57.0978.01
  2. R.S. Clark [2] Projective collineations in a space of K-spreads. Proc.Cambridge Philosophical Soc., 41 (1945), 210—223. Zbl0063.00918
  3. Chih-Ta Yen [3] Sur une connexion projective normale associée à un système de variétés à k dimensions. C.R., 227 (1948), 461—462. Zbl0034.24902
  4. [4] Sur les systèmes de variétés à k dimensions et la connexion projective normale associée. C.R., 228 (1949), 1844—1846. Zbl0035.10602
  5. Hsien-Chung Wang [5] Axiom of the plane in a general space of paths. Annals of Math., 49 (1948), 731—737. Zbl0031.27602
  6. S.S. Chern [6] A generalization of the projective geometry of linear spaces. Proc. Nat. Acad. Sci., U.S.A., 29 (1943), 38—43. Zbl0060.39209
  7. K. Yano [7] Les espaces à connexion projective et la géométrie projective des paths. Annales Scientifiques de l'Université de Jassy, 24 (1938), 395—464. Zbl0019.08503JFM64.0758.01
  8. [8] Les espaces d'éléments linéaires à connexion projective normale et la géométrie projective générale des paths. Proc. Physico-Math. Soc. of Japan, 24 (1942), 9-25. Zbl0060.39003MR14774

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