On spherical space forms with meta-cyclic fundamental group which are isospectral but not equivariant cobordant
Gilkey, Peter B.
Compositio Mathematica, Tome 56 (1985), p. 171-200 / Harvested from Numdam
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Publié le : 1985-01-01
@article{CM_1985__56_2_171_0,
     author = {Gilkey, Peter B.},
     title = {On spherical space forms with meta-cyclic fundamental group which are isospectral but not equivariant cobordant},
     journal = {Compositio Mathematica},
     volume = {56},
     year = {1985},
     pages = {171-200},
     mrnumber = {809865},
     zbl = {0593.58041},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1985__56_2_171_0}
}

Gilkey, Peter B. On spherical space forms with meta-cyclic fundamental group which are isospectral but not equivariant cobordant. Compositio Mathematica, Tome 56 (1985) pp. 171-200. http://gdmltest.u-ga.fr/item/CM_1985__56_2_171_0/

[1] M.F. Atiyah, V.K. Patodi and I.M. Singe: Spectral asymmetry and Riemannian geometry. III. Math. Proc. Camb. Phil. Soc. 79 (1976) 71-99. | MR 397799 | Zbl 0325.58015

[2] G. Derham: Complexes a automorphismes et homeomorphie differentiable, Annales de L'institut Fourier 2 (1950) 51-67. | Numdam | MR 43468 | Zbl 0043.17601

[3] H. Donnelly. Eta invariants for G-spaces. Indiana Univ Math J 27 (1978) 889-918. | MR 511246 | Zbl 0402.58006

[4] D. Epstein: Natural tensors on Riemannian manifods. J. Diff. Geo 10 (1973) 631-646. | MR 415531 | Zbl 0321.53039

[5] P. Gilkey: The eta invariant and the K-theory of odd dimensional spherical space forms. Inventiones Math. 76, 421-453 (1984). | MR 746537 | Zbl 0547.58032

[6] P. Gilkey: The eta invariant for even dimensional PINc manifolds (to appear). | Zbl 0602.58041

[7] P. Gilkey: Invariance theory, the heat equation, and the Atiyah - Singer theorem. Publish or Perish Press (1985). | Zbl 0565.58035

[8] F. Hirzebruch: Topological methods in algebraic geometry, Springer-Verlag (1966). | MR 202713 | Zbl 0138.42001

[9] F. Hirzebruch and D. Zagier: The Atiyah-Singer theorem and elementary number theory. Publish or Perish Press (1974). | MR 650832 | Zbl 0288.10001

[10] A. Ikeda: On spherical space forms which are isospectral but not isometric. J. Math. Soc. Japan 35 (1983) 437-444. | MR 702768 | Zbl 0507.58050

[11] R. Millman: Manifolds with the same spectrum. AMS monthly 90 (1983) 553-555. | MR 1540264 | Zbl 0518.53050

[12] J. Milnor: Eigenvalues of the Laplace operator on certain manifolds. Proc. Nat. Acad. Sci. USA 51 (1964) 542. | MR 162204 | Zbl 0124.31202

[13] J. Millson: Chern-Simons invariants of constant curvature manifolds. Ph.D. Thesis Univerity of California (Berkeley) (1973).

[14] P. Stredder: Natural differential operators on Riemannian manifolds and representations of the orthogonal and special orthogonal group. J. Diff. Geo. 10 (1975) 647-660. | MR 415692 | Zbl 0318.53046

[15] M.V. Vigneras: Varietes Riemanniennes Isospectrales et non isometriques, Ann. of Math. 112 (1980) 21-32. | MR 584073 | Zbl 0445.53026

[16] J.A. Wolf: Spaces of constant curvature. Publish or Perish Press (1972). | Zbl 0281.53034