Infinitesimal Blaschke conjectures on projective spaces

Chiaki Tsukamoto

Annales scientifiques de l'École Normale Supérieure (1981)

  • Volume: 14, Issue: 3, page 339-356
  • ISSN: 0012-9593

How to cite

top

Tsukamoto, Chiaki. "Infinitesimal Blaschke conjectures on projective spaces." Annales scientifiques de l'École Normale Supérieure 14.3 (1981): 339-356. <http://eudml.org/doc/82078>.

@article{Tsukamoto1981,
author = {Tsukamoto, Chiaki},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {symmetric space; representation theory; metrics all of whose geodesics are closed; projective space},
language = {eng},
number = {3},
pages = {339-356},
publisher = {Elsevier},
title = {Infinitesimal Blaschke conjectures on projective spaces},
url = {http://eudml.org/doc/82078},
volume = {14},
year = {1981},
}

TY - JOUR
AU - Tsukamoto, Chiaki
TI - Infinitesimal Blaschke conjectures on projective spaces
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1981
PB - Elsevier
VL - 14
IS - 3
SP - 339
EP - 356
LA - eng
KW - symmetric space; representation theory; metrics all of whose geodesics are closed; projective space
UR - http://eudml.org/doc/82078
ER -

References

top
  1. [1] M. BERGER and D. G. EBIN, Some Decomposition of the Space of Symmetric Tensors on a Riemannian Manifold (J. Differential Geometry, Vol. 3, 1969, pp. 379-392). Zbl0194.53103MR42 #993
  2. [2] L. BÉRARD BERGERY, J.-P. BOURGUIGNON and J. LAFONTAINE, Déformations localement triviales des variétés riemanniennes (Proc. Symp. Pure Math., Vol. 27, Part 1, 1975, pp. 3-32). Zbl0311.58011MR52 #9303
  3. [3] A. BESSE, Manifolds all of Whose Geodesics are Closed, Springer-Verlag, Berlin-Heiderberg-New York, 1978. Zbl0387.53010MR80c:53044
  4. [4] H. BOERNER, Representations of Groups, North-Holland, Amsterdam, 1963. Zbl0112.26301
  5. [5] E. CALABI, On Compact Riemannian Manifolds with Constant Curvature I (Proc. Symp. Pure Math., Vol. 3, 1961, pp. 155-180). Zbl0129.14102MR24 #A3612
  6. [6] V. GUILLEMIN, The Radon Transform on Zoll Surfaces (Advances in Math., Vol. 22, 1976, pp. 85-119). Zbl0353.53027MR54 #14009
  7. [7] J. E. HUMPHREYS, Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics, Vol. 9, Springer-Verlag, New York-Heiderberg-Berlin, 1972). Zbl0254.17004MR48 #2197
  8. [8] K. KIYOHARA, On the Infinitesimal Blaschke Conjecture (Hokkaido Math. J., Vol. 10, 1981, pp. 124-142). Zbl0487.53042MR82h:53062
  9. [9] R. MICHEL, Problèmes d'analyse géométrique liés à la conjecture de Blaschke (Bull. Soc. Math. Fr., T. 101, 1973, pp. 17-69). Zbl0265.53041MR47 #5778
  10. [10] J. A. WOLF, Elliptic Spaces in Grassmann Manifolds (Illinois J. Math., Vol. 7, 1963, pp. 447-462). Zbl0114.37101MR27 #6221
  11. [11] O. ZOLL, Über Flächen mit Scharen geschlossener geodätischer Linien (Math. Ann., Vol. 57, 1903, pp. 108-133). Zbl34.0657.05JFM34.0657.05

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.