@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}, pages = {171--200}, publisher = {Martinus Nijhoff Publishers}, volume = {56}, number = {2}, year = {1985}, mrnumber = {809865}, zbl = {0593.58041}, language = {en}, url = {http://www.numdam.org/item/CM_1985__56_2_171_0/} }
TY - JOUR AU - Gilkey, Peter B. TI - On spherical space forms with meta-cyclic fundamental group which are isospectral but not equivariant cobordant JO - Compositio Mathematica PY - 1985 SP - 171 EP - 200 VL - 56 IS - 2 PB - Martinus Nijhoff Publishers UR - http://www.numdam.org/item/CM_1985__56_2_171_0/ LA - en ID - CM_1985__56_2_171_0 ER -
%0 Journal Article %A Gilkey, Peter B. %T On spherical space forms with meta-cyclic fundamental group which are isospectral but not equivariant cobordant %J Compositio Mathematica %D 1985 %P 171-200 %V 56 %N 2 %I Martinus Nijhoff Publishers %U http://www.numdam.org/item/CM_1985__56_2_171_0/ %G en %F 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) no. 2, pp. 171-200. http://www.numdam.org/item/CM_1985__56_2_171_0/
[1] Spectral asymmetry and Riemannian geometry. III. Math. Proc. Camb. Phil. Soc. 79 (1976) 71-99. | MR | Zbl
, and :[2] Complexes a automorphismes et homeomorphie differentiable, Annales de L'institut Fourier 2 (1950) 51-67. | Numdam | MR | Zbl
:[3] Eta invariants for G-spaces. Indiana Univ Math J 27 (1978) 889-918. | MR | Zbl
[4] Natural tensors on Riemannian manifods. J. Diff. Geo 10 (1973) 631-646. | MR | Zbl
:[5] The eta invariant and the K-theory of odd dimensional spherical space forms. Inventiones Math. 76, 421-453 (1984). | MR | Zbl
:[6] The eta invariant for even dimensional PINc manifolds (to appear). | Zbl
:[7] Invariance theory, the heat equation, and the Atiyah - Singer theorem. Publish or Perish Press (1985). | Zbl
:[8] Topological methods in algebraic geometry, Springer-Verlag (1966). | MR | Zbl
:[9] The Atiyah-Singer theorem and elementary number theory. Publish or Perish Press (1974). | MR | Zbl
and :[10] On spherical space forms which are isospectral but not isometric. J. Math. Soc. Japan 35 (1983) 437-444. | MR | Zbl
:[11] Manifolds with the same spectrum. AMS monthly 90 (1983) 553-555. | MR | Zbl
:[12] Eigenvalues of the Laplace operator on certain manifolds. Proc. Nat. Acad. Sci. USA 51 (1964) 542. | MR | Zbl
:[13] Chern-Simons invariants of constant curvature manifolds. Ph.D. Thesis Univerity of California (Berkeley) (1973).
:[14] Natural differential operators on Riemannian manifolds and representations of the orthogonal and special orthogonal group. J. Diff. Geo. 10 (1975) 647-660. | MR | Zbl
:[15] Varietes Riemanniennes Isospectrales et non isometriques, Ann. of Math. 112 (1980) 21-32. | MR | Zbl
:[16] Spaces of constant curvature. Publish or Perish Press (1972). | Zbl
: