Extension of Bochner-Lichnérowicz formula on spheres

Dominique Bakry; Abdellatif Bentaleb

Annales de la Faculté des sciences de Toulouse : Mathématiques (2005)

  • Volume: 14, Issue: 2, page 161-183
  • ISSN: 0240-2963

How to cite

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Bakry, Dominique, and Bentaleb, Abdellatif. "Extension of Bochner-Lichnérowicz formula on spheres." Annales de la Faculté des sciences de Toulouse : Mathématiques 14.2 (2005): 161-183. <http://eudml.org/doc/73646>.

@article{Bakry2005,
author = {Bakry, Dominique, Bentaleb, Abdellatif},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {Laplace-Beltrami operator; intrinsic bilinear operator; eigenvalue of the Laplacian},
language = {eng},
number = {2},
pages = {161-183},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {Extension of Bochner-Lichnérowicz formula on spheres},
url = {http://eudml.org/doc/73646},
volume = {14},
year = {2005},
}

TY - JOUR
AU - Bakry, Dominique
AU - Bentaleb, Abdellatif
TI - Extension of Bochner-Lichnérowicz formula on spheres
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2005
PB - Université Paul Sabatier, Institut de Mathématiques
VL - 14
IS - 2
SP - 161
EP - 183
LA - eng
KW - Laplace-Beltrami operator; intrinsic bilinear operator; eigenvalue of the Laplacian
UR - http://eudml.org/doc/73646
ER -

References

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  2. [2] Bakry ( D.). — On Sobolev and logarithmic Sobolev Inequalities for Markov Semi-groups. New Trends in Stochastic Analysis, Elworthy K.D., Kusuoka S. , Shigekawa I., World Scientific Publisher, Singapore, p. 43-75 (1997). MR1654503
  3. [3] Berger ( M. ) , Gauduchon ( P.), Mazet ( E.). - Le spectre d'une variété riemannienne . Lecture Notes in Mathematics, 194, Springer-Verlag , Berlin- New-York (1971). Zbl0223.53034MR282313
  4. [4] Chavel ( I. ). — Eigenvalues in Riemannian geometry, Ac. Press, Pure and Applied Mathematics, New York ( 1984). Zbl0551.53001MR768584
  5. [5] Colin de Verdière Y. — Le spectre du Laplacien : survol partiel depuis Berger-Gauduchon-Mazet, Actes de la table ronde de Géométrie différentielle ( Luminy, 1992) Séminaires et Congrès 1, Soc. Math. de France , Paris (1996 ). Zbl0884.58095
  6. [6] Hebey ( E.). - Nonlinear Analysis on manifolds: Sobolev Spaces and Inequalities , Courant Lecture Notes in Mathematics , New-York (1999). Zbl0981.58006MR1688256
  7. [7] Ledoux ( M. ). — L'algèbre de Lie des gradients itérés d'un générateur Markovien. Ann. Sc. Ec. Norm. Sup. (4)28, p. 435-460 (1995). Zbl0842.60075MR1334608
  8. [8] Lichnérowicz ( A.). - Géométrie des groupes de transformations , Dunod, Paris ( 1958). Zbl0096.16001
  9. [9] Obata ( M.). — Certain Conditions for a Riemannian manifold to be isometric with a sphere, J. Math. Soc Jpn14, p. 333-340 (1962). Zbl0115.39302MR142086
  10. [10] Stein ( E.) , Weiss ( G.). — Introduction to Fourier Analysis on Euclidean spaces. Princeton University Press, Princeton, NJ (1971). Zbl0232.42007MR304972

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