Symplectic rigidity of geodesic flows on two-step nilmanifolds
Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 30 (1997) no. 4, pp. 417-427.
@article{ASENS_1997_4_30_4_417_0,
     author = {Gordon, Carolyn S. and Mao, Yiping and Schueth, Dorothee},
     title = {Symplectic rigidity of geodesic flows on two-step nilmanifolds},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {417--427},
     publisher = {Elsevier},
     volume = {Ser. 4, 30},
     number = {4},
     year = {1997},
     doi = {10.1016/s0012-9593(97)89927-2},
     zbl = {0897.53033},
     mrnumber = {98g:53077},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/s0012-9593(97)89927-2/}
}
TY  - JOUR
AU  - Gordon, Carolyn S.
AU  - Mao, Yiping
AU  - Schueth, Dorothee
TI  - Symplectic rigidity of geodesic flows on two-step nilmanifolds
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1997
DA  - 1997///
SP  - 417
EP  - 427
VL  - Ser. 4, 30
IS  - 4
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.1016/s0012-9593(97)89927-2/
UR  - https://zbmath.org/?q=an%3A0897.53033
UR  - https://www.ams.org/mathscinet-getitem?mr=98g:53077
UR  - https://doi.org/10.1016/s0012-9593(97)89927-2
DO  - 10.1016/s0012-9593(97)89927-2
LA  - en
ID  - ASENS_1997_4_30_4_417_0
ER  - 
%0 Journal Article
%A Gordon, Carolyn S.
%A Mao, Yiping
%A Schueth, Dorothee
%T Symplectic rigidity of geodesic flows on two-step nilmanifolds
%J Annales scientifiques de l'École Normale Supérieure
%D 1997
%P 417-427
%V Ser. 4, 30
%N 4
%I Elsevier
%U https://doi.org/10.1016/s0012-9593(97)89927-2
%R 10.1016/s0012-9593(97)89927-2
%G en
%F ASENS_1997_4_30_4_417_0
Gordon, Carolyn S.; Mao, Yiping; Schueth, Dorothee. Symplectic rigidity of geodesic flows on two-step nilmanifolds. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 30 (1997) no. 4, pp. 417-427. doi : 10.1016/s0012-9593(97)89927-2. http://www.numdam.org/articles/10.1016/s0012-9593(97)89927-2/

[Cr] C. Croke, Rigidity for surfaces of non-positive curvature, (Comm. Math. Helvetici, Vol. 65, 1990, pp. 150-169). | MR | Zbl

[CFF] C. Croke, A. Fathi and J. Feldman, The marked length spectrum of a surface of nonpositive curvature, (Topology, Vol. 31, 1992, pp. 847-858). | MR | Zbl

[Eb] P. Eberlein, Geometry of two-step nilpotent groups with a left invariant metric, (Ann. Sci. de l'Ecole Norm. Sup., 4ème série, Vol. 27, 1994, pp. 611-660). | Numdam | MR | Zbl

[Go] C. Gordon, The Laplace spectra versus the length spectra of Riemannian Manifolds, (Contemp. Math., Vol. 51, 1986, pp. 63-80). | MR | Zbl

[GM1] C. Gordon and Y. Mao, Comparisons of Laplace spectra, length spectra and geodesic flow of some Riemannian manifolds, (Math. Research Letters, Vol. 1, 1994, pp. 677-688). | MR | Zbl

[GM2] C. Gordon and Y. Mao, Geodesic conjugacy in two-step nilmanifolds, (MSRI Preprint, Vol. No. 033-95, 1995).

[GW] C. Gordon and E. Wilson, Isospectral deformations of compact solvmanifolds, (J. Diff. Geom., Vol. 19, 1984, pp. 241-256). | MR | Zbl

[Ja] N. Jacobson, Lie Algebras, (Dover Publications, New York, 1979). | MR

[Ku] R. Kuwabara, A note on the deformations of Hamiltonian systems on nilmanifolds, (J. Math. Tokushima, Vol. 26, 1992, pp. 19-29). | MR | Zbl

[Ma] F. Marhuenda, Microlocal analysis of some isospectral deformations, (Trans. Amer. Math. Soc., Vol. 343, 1994, pp. 245-275). | MR | Zbl

[OP] H. Ouyang and H. Pesce, Déformations isospectrales sur les nilvariétés de rang deux, (C. R. Acad. Sci. Paris, sér. I., Vol. 314, 1992, pp. 621-623). | MR | Zbl

[Ot] J. Otal, Le spectre marqué des longueurs des surfaces à courbure négative, (Ann. of Math., Vol. 131, 1990, pp. 151-162). | MR | Zbl

[OV] A. L. Onishchik and E. B. Vinberg (eds.), Lie Groups and Lie Algebras III, (Encyclopaedia of Mathematical Sciences, Vol. 41, Springer, New York, 1991). | MR | Zbl

[We] A. Weinstein, Fourier integral operators, quantization and the spectra of Riemannian manifolds, (Colloques Internationaux C.N.R.S., Vol. 273, 1975, pp. 289-298). | MR | Zbl

Cited by Sources: