The signature theorem for manifolds with metric horns

Jochen Brüning

Journées équations aux dérivées partielles (1996)

  • Volume: 1996, page 1-10
  • ISSN: 0752-0360

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Brüning, Jochen. "The signature theorem for manifolds with metric horns." Journées équations aux dérivées partielles 1996 (1996): 1-10. <http://eudml.org/doc/93328>.

@article{Brüning1996,
author = {Brüning, Jochen},
journal = {Journées équations aux dérivées partielles},
keywords = {metric horns; signature operator; index formula; conic singularities; asymptotic expansion},
language = {eng},
pages = {1-10},
publisher = {Ecole polytechnique},
title = {The signature theorem for manifolds with metric horns},
url = {http://eudml.org/doc/93328},
volume = {1996},
year = {1996},
}

TY - JOUR
AU - Brüning, Jochen
TI - The signature theorem for manifolds with metric horns
JO - Journées équations aux dérivées partielles
PY - 1996
PB - Ecole polytechnique
VL - 1996
SP - 1
EP - 10
LA - eng
KW - metric horns; signature operator; index formula; conic singularities; asymptotic expansion
UR - http://eudml.org/doc/93328
ER -

References

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  1. [B1] J. Brüning : Heat kernel asymptotics for operator valued Sturm-Liouville equations. Analysis 8 (1988), 73-93. Zbl0672.34054MR89j:35037
  2. [B2] J. Brüning : The local index theorem without smoothness. In : Partial Diffential Equations and Mathematic Physics. The Danish-Swedish Analysis Seminar, 1995. Lars Hoermander, Anders Melin (Ed.). Birkhäuser : Boston 1996, 58-91 Zbl0853.58097
  3. [BS1] J. Brüning und R. Seeley : The resolvent expansion for second order regular singular operators. J. Funct. Anal. 78 (1987), 361-429 Zbl0625.47040
  4. [BS2] J. Brüning and R. Seeley : An index theorem for first order regular singular operators. Amer. J. Math. 110 (1988), 659-429 Zbl0664.58035MR89k:58271
  5. [BS3] J. Brüning and R. Seeley : Regular singular asymptotics. Adv. in Math. 58 (1985), 133-148. Zbl0593.47047MR87b:41032
  6. [Ca] C. Callias : On the existence of small-time heat expansion for operators with irregular singularities in the coefficients. Preprint 1990 Zbl0840.35028
  7. [Ch1] J. Cheeger : On the spectral geometry of spaces with cone - like singularities. Proc. Nat. Acad. Sci. U.S.A. 76 (1979), 2103-2106 Zbl0411.58003MR80k:58098
  8. [Ch2] J. Cheeger : Spectral geometry of singular Riemannian spaces. J. Differ. Geom. 18 (1083), 575-657 Zbl0529.58034MR85d:58083
  9. [Ch3] J. Cheeger: On the Hodge theory of Riemannian pseudomanifolds. In : Proc. Sympos. Pure Math. 36, 91-146. Amer. Math. Soc., Providence 1980 Zbl0461.58002MR83a:58081
  10. [LP] M. Lesch and N. Peyerimhoff : On index formulas for manifolds with metric horns. Institut für Mathematik der Universität Augsburg, 337 (1995) Zbl0906.58049
  11. [P] N. Peyerimhoff : Ein Index für Cheegersingularitäten im Hinblick auf algebraische Flächen. Dissertation, Augsburg 1993 Zbl0850.57002

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