Refined Kato inequalities in riemannian geometry

Marc Herzlich

Journées équations aux dérivées partielles (2000)

  • page 1-11
  • ISSN: 0752-0360

Abstract

top
We describe the recent joint work of the author with David M. J. Calderbank and Paul Gauduchon on refined Kato inequalities for sections of vector bundles living in the kernel of natural first-order elliptic operators.

How to cite

top

Herzlich, Marc. "Refined Kato inequalities in riemannian geometry." Journées équations aux dérivées partielles (2000): 1-11. <http://eudml.org/doc/93403>.

@article{Herzlich2000,
abstract = {We describe the recent joint work of the author with David M. J. Calderbank and Paul Gauduchon on refined Kato inequalities for sections of vector bundles living in the kernel of natural first-order elliptic operators.},
author = {Herzlich, Marc},
journal = {Journées équations aux dérivées partielles},
keywords = {first-order elliptic operator; Kato inequality},
language = {eng},
pages = {1-11},
publisher = {Université de Nantes},
title = {Refined Kato inequalities in riemannian geometry},
url = {http://eudml.org/doc/93403},
year = {2000},
}

TY - JOUR
AU - Herzlich, Marc
TI - Refined Kato inequalities in riemannian geometry
JO - Journées équations aux dérivées partielles
PY - 2000
PB - Université de Nantes
SP - 1
EP - 11
AB - We describe the recent joint work of the author with David M. J. Calderbank and Paul Gauduchon on refined Kato inequalities for sections of vector bundles living in the kernel of natural first-order elliptic operators.
LA - eng
KW - first-order elliptic operator; Kato inequality
UR - http://eudml.org/doc/93403
ER -

References

top
  1. [1] S. Bando, A. Kasue and H. Nakajima, On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth, Invent. Math. 97 (1989), 313-349. Zbl0682.53045MR90c:53098
  2. [2] P. Bérard, From vanishing theorems to estimating theorems : the Bochner technique revisited, Bull. Amer. Math. Soc. 19 (1988), 371-406. Zbl0662.53037MR89i:58152
  3. [3] J. P. Bourguignon, The magic of Weitzenböck formulas, in Variational methods (Paris, 1988), H. Brezis, J. M. Coron and I. Ekeland eds, PNLDE vol. 4, Birkhäuser, Zürich, 1990. Zbl0774.35003
  4. [4] T. Branson, Stein-Weiss operators and ellipticity, J. Funct. Anal. 151 (1997), 334-383. Zbl0904.58054MR99b:58219
  5. [5] T. Branson, Kato constants in Riemannian geometry, Preprint (1999), to appear in Math. Res. Lett. Zbl1039.53033
  6. [6] D. M. J. Calderbank, P. Gauduchon, and M. Herzlich, Refined Kato inequalities and conformal weights in Riemannian geometry, J. Funct. Anal. 173 (2000), 214-255. Zbl0960.58010MR2001f:58046
  7. [7] D. M. J. Calderbank, P. Gauduchon, and M. Herzlich, On the Kato inequality in Riemannian Geometry, to appear in Analyse harmonique et analyse sur les variétés, Proc. of the Luminy conf., 1-6 June 1999 (J. P. Bourguignon and O. Hijazi, eds.). Zbl1016.58007
  8. [8] W. Fulton and J. Harris, Representation Theory - A First Course, Grad. Text. Math. vol. 129, Springer, 1991. Zbl0744.22001MR93a:20069
  9. [9] P. Gauduchon, Structures de Weyl et théorèmes d'annulation sur une variété conforme autoduale, Ann. Sc. Norm. Sup. Pisa 18 (1991), 563-629. Zbl0763.53034MR93d:32046
  10. [10] H. Hess, R. Schrader and D. Uhlenbrock, Kato's inequality and the spectral distribution of Laplacians on compact Riemannian manifolds, J. Diff. Geom. 15 (1980), 27-38. Zbl0442.58032MR82g:58090
  11. [11] J. Råde, Decay estimates for Yang-Mills fields : two new proofs, Global analysis in modern mathematics (Orono, 1991, Waltham, 1992), Publish or Perish, Houston, 1993, pp. 91-105. Zbl1049.53505MR95g:53030
  12. [12] R. Schoen, L. Simon and S. T. Yau, Curvature estimates for minimal hypersurfaces, Acta Math. 134 (1975), 275-288. Zbl0323.53039MR54 #11243
  13. [13] K. Uhlenbeck, Removable singularities for Yang-Mills fields, Commun. Math. Phys. 83 (1982), 11-30. Zbl0491.58032MR83e:53034

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.