-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
Access Full Article
top
Abstract
topHow to cite
topBerndt, 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- 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
- BERNDT, J.- TRICERRI, F.- VANHECKE, L., Generalized Heisenberg groups and Damek-Ricci harmonic spaces, Springer-Verlag, Berlin, Heidelberg (1995). Zbl0818.53067MR1340192
- BERNDT, J.- VANHECKE, L., Geometry of weakly symmetric spaces, J. Math. Soc. Japan, 48 (1996), 745-760. Zbl0877.53027MR1404821
- BLAIR, D. E., Contact Manifolds in Riemannian Geometry, Lect. Notes. Math., 509, Springer-Verlag, Berlin, Heidelberg, New York (1976). Zbl0319.53026MR467588
- HELGASON, S., Groups and Geometric Analysis, Academic Press, Orlando (1984). Zbl0543.58001MR754767
- JIMÉNEZ, J. A., Stiefel manifolds and non-commutative -symmetric spaces, preprint.
- JIMÉNEZ, J. A.- KOWALSKI, O., The classification of -symmetric Sasakian manifolds, Monatsh. Math., 115 (1993), 83-98. Zbl0781.53038MR1223246
- 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
- LAURET, J., Commutative spaces which are not weakly symmetric, Bull. London Math. Soc., to appear. Zbl0921.22007MR1479033
- LAURET, J., Modified -type groups and symmetric-like Riemannian spaces, preprint 1997. Zbl0942.53034MR1669469
- 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
- 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
- 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
- TAKAHASHI, T., Sasakian -symmetric spaces, Tôhoku Math. J., 29 (1977), 91-113. Zbl0343.53030MR440472
- TAKEUCHI, M., Stability of certain minimal submanifolds of compact Hermitian symmetric spaces, Tôhoku Math. J., 36 (1984), 293-314. Zbl0528.53047MR742600
NotesEmbed ?
topYou 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.