On spherical space forms with meta-cyclic fundamental group which are isospectral but not equivariant cobordant

Peter B. Gilkey

Compositio Mathematica (1985)

  • Volume: 56, Issue: 2, page 171-200
  • ISSN: 0010-437X

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Gilkey, Peter B.. "On spherical space forms with meta-cyclic fundamental group which are isospectral but not equivariant cobordant." Compositio Mathematica 56.2 (1985): 171-200. <http://eudml.org/doc/89734>.

@article{Gilkey1985,
author = {Gilkey, Peter B.},
journal = {Compositio Mathematica},
keywords = {isospectral manifolds; isometric manifolds; spherical space forms},
language = {eng},
number = {2},
pages = {171-200},
publisher = {Martinus Nijhoff Publishers},
title = {On spherical space forms with meta-cyclic fundamental group which are isospectral but not equivariant cobordant},
url = {http://eudml.org/doc/89734},
volume = {56},
year = {1985},
}

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
PB - Martinus Nijhoff Publishers
VL - 56
IS - 2
SP - 171
EP - 200
LA - eng
KW - isospectral manifolds; isometric manifolds; spherical space forms
UR - http://eudml.org/doc/89734
ER -

References

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  5. [5] P. Gilkey: The eta invariant and the K-theory of odd dimensional spherical space forms. Inventiones Math.76, 421-453 (1984). Zbl0547.58032MR746537
  6. [6] P. Gilkey: The eta invariant for even dimensional PINc manifolds (to appear). Zbl0602.58041
  7. [7] P. Gilkey: Invariance theory, the heat equation, and the Atiyah - Singer theorem. Publish or Perish Press (1985). Zbl0565.58035
  8. [8] F. Hirzebruch: Topological methods in algebraic geometry, Springer-Verlag (1966). Zbl0138.42001MR202713
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  10. [10] A. Ikeda: On spherical space forms which are isospectral but not isometric. J. Math. Soc. Japan35 (1983) 437-444. Zbl0507.58050MR702768
  11. [11] R. Millman: Manifolds with the same spectrum. AMS monthly90 (1983) 553-555. Zbl0518.53050MR1540264
  12. [12] J. Milnor: Eigenvalues of the Laplace operator on certain manifolds. Proc. Nat. Acad. Sci. USA51 (1964) 542. Zbl0124.31202MR162204
  13. [13] J. Millson: Chern-Simons invariants of constant curvature manifolds. Ph.D. Thesis Univerity of California (Berkeley) (1973). 
  14. [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. Zbl0318.53046MR415692
  15. [15] M.V. Vigneras: Varietes Riemanniennes Isospectrales et non isometriques, Ann. of Math.112 (1980) 21-32. Zbl0445.53026MR584073
  16. [16] J.A. Wolf: Spaces of constant curvature. Publish or Perish Press (1972). Zbl0281.53034

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