ϕ -symmetric spaces and weak symmetry

Jürgen Berndt; Lieven Vanhecke

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 2, page 389-392
  • ISSN: 0392-4041

How to cite

top

Berndt, Jürgen, and Vanhecke, Lieven. "$\phi$-symmetric spaces and weak symmetry." Bollettino dell'Unione Matematica Italiana 2-B.2 (1999): 389-392. <http://eudml.org/doc/195847>.

@article{Berndt1999,
author = {Berndt, Jürgen, Vanhecke, Lieven},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {-symmetric; weakly symmetric; -commutative space; Sasakian manifold; Sasakian structure; isometry group},
language = {eng},
month = {6},
number = {2},
pages = {389-392},
publisher = {Unione Matematica Italiana},
title = {$\phi$-symmetric spaces and weak symmetry},
url = {http://eudml.org/doc/195847},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Berndt, Jürgen
AU - Vanhecke, Lieven
TI - $\phi$-symmetric spaces and weak symmetry
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/6//
PB - Unione Matematica Italiana
VL - 2-B
IS - 2
SP - 389
EP - 392
LA - eng
KW - -symmetric; weakly symmetric; -commutative space; Sasakian manifold; Sasakian structure; isometry group
UR - http://eudml.org/doc/195847
ER -

References

top
  1. BERNDT, J., TONDEUR, PH., VANHECKE, L., Examples of weakly symmetric spaces in contact geometry, Boll. Un. Mat. Ital., (7) 11-B (1997), Suppl. fasc. 2, 1-10. Zbl0880.53041MR1456247
  2. BERNDT, J.- TRICERRI, F.- VANHECKE, L., Generalized Heisenberg groups and Damek-Ricci harmonic spaces, Springer-Verlag, Berlin, Heidelberg (1995). Zbl0818.53067MR1340192
  3. BERNDT, J.- VANHECKE, L., Geometry of weakly symmetric spaces, J. Math. Soc. Japan, 48 (1996), 745-760. Zbl0877.53027MR1404821
  4. BLAIR, D. E., Contact Manifolds in Riemannian Geometry, Lect. Notes. Math., 509, Springer-Verlag, Berlin, Heidelberg, New York (1976). Zbl0319.53026MR467588
  5. HELGASON, S., Groups and Geometric Analysis, Academic Press, Orlando (1984). Zbl0543.58001MR754767
  6. JIMÉNEZ, J. A., Stiefel manifolds and non-commutative ϕ -symmetric spaces, preprint. 
  7. JIMÉNEZ, J. A.- KOWALSKI, O., The classification of ϕ -symmetric Sasakian manifolds, Monatsh. Math., 115 (1993), 83-98. Zbl0781.53038MR1223246
  8. KOWALSKI, O.- PRÜFER, F.- VANHECKE, L., D'Atri spaces, in Topics in Geometry, In Memory of Joseph D'Atri, Birkhäuser, Boston, Basel, Berlin (1996), 241-284. Zbl0862.53039MR1390318
  9. LAURET, J., Commutative spaces which are not weakly symmetric, Bull. London Math. Soc., to appear. Zbl0921.22007MR1479033
  10. LAURET, J., Modified H -type groups and symmetric-like Riemannian spaces, preprint 1997. Zbl0942.53034MR1669469
  11. LEUNG, D. S. P., Reflective submanifolds. III. Congruency of isometric reflective submanifolds and corrigenda to the classification of reflective submanifolds, J. Diff. Geom., 14 (1979), 167-177. Zbl0453.53044MR587545
  12. RECKZIEGEL, H., Horizontal lifts of isometric immersions into the bundle space of a pseudo-Riemannian submersion, in Global Differential Geometry and Global Analysis 1984, Lect. Notes Math., 1156, Springer-Verlag, Berlin, Heidelberg, New York (1985), 264-279. Zbl0566.53025MR824074
  13. SELBERG, A., Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc., 20 (1956), 47-87. Zbl0072.08201MR88511
  14. TAKAHASHI, T., Sasakian ϕ -symmetric spaces, Tôhoku Math. J., 29 (1977), 91-113. Zbl0343.53030MR440472
  15. TAKEUCHI, M., Stability of certain minimal submanifolds of compact Hermitian symmetric spaces, Tôhoku Math. J., 36 (1984), 293-314. Zbl0528.53047MR742600

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.