The L p q -Cohomology of S O L

Vladimir Gol'dshtein; Marc Troyanov

Annales de la Faculté des sciences de Toulouse : Mathématiques (1998)

  • Volume: 7, Issue: 4, page 687-698
  • ISSN: 0240-2963

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Gol'dshtein, Vladimir, and Troyanov, Marc. "The $L_{pq}$-Cohomology of $SOL$." Annales de la Faculté des sciences de Toulouse : Mathématiques 7.4 (1998): 687-698. <http://eudml.org/doc/73471>.

@article{Goldshtein1998,
author = {Gol'dshtein, Vladimir, Troyanov, Marc},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {solvable Lie group; SOL; cohomology group},
language = {eng},
number = {4},
pages = {687-698},
publisher = {UNIVERSITE PAUL SABATIER},
title = {The $L_\{pq\}$-Cohomology of $SOL$},
url = {http://eudml.org/doc/73471},
volume = {7},
year = {1998},
}

TY - JOUR
AU - Gol'dshtein, Vladimir
AU - Troyanov, Marc
TI - The $L_{pq}$-Cohomology of $SOL$
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1998
PB - UNIVERSITE PAUL SABATIER
VL - 7
IS - 4
SP - 687
EP - 698
LA - eng
KW - solvable Lie group; SOL; cohomology group
UR - http://eudml.org/doc/73471
ER -

References

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  1. [1] Gaffney ( M.) . — A Special Stoke's Theorem for Complete Riemannian Manifolds, Ann. of Math.60 (1954), pp. 140-145. Zbl0055.40301MR62490
  2. [2] GOL'DSHTEIN ( V.M.), KUZ'MINOV ( V.I.) and Shvedov ( I.A.) .— Differential Forms on Lipschitz Manifolds, Siberian Math. Journal23, No 2 (1982). Zbl0522.58001MR652220
  3. [3] GOL'DSHTEIN ( V.M.), KUZ'MINOV ( V.I.) and Shvedov Shvedov ( I.A.) . — Integration of Differential Forms of the Classes W*p,q, Siberian Math. Journal23, No 5 (1982). Zbl0522.58002MR673539
  4. [4] GOL'DSHTEIN ( V.M.), KUZ'MINOV ( V.I.) and Shvedov ( I.A.) .— A Property of de Rham Regularization Operators, Siberian Math. Journal25, No 2 (1984). Zbl0546.58002MR741012
  5. [5] Cheeger ( J.) and Gromov ( M.) .- On the characteristic numbers of complete manifolds of bounded curvature and finite volume, in Differential Geometry and Complex Analysis, Rauch Memorial Volume, I. Chavel and H. M. Farkas eds., Springer (1985). Zbl0592.53036MR780040
  6. [6] Cheeger ( J.) and Gromov ( M.) .— Bounds of the Von Neuman Dimensions of L2-cohomology and the Gauss-Bonnet formula for open manifolds, J. Diff. Geom.21 (1981), pp. 1-34. Zbl0614.53034MR806699
  7. [7] Cheeger ( J.) and Gromov ( M.) .— L2- cohomology and group theory, Topology25 (1986), pp. 189-215. Zbl0597.57020MR837621
  8. [8] Pansu ( P.) .- Cohomologie Lp des variétés à courbure négative, cas du degré 1, Rend. Sem. Mat. Univ. Pol. Torino Fascicolo Speciale P.D.E and Geometry (1989), pp. 95-119. Zbl0723.53023MR1086210
  9. [9] Troyanov ( M.) .— L'horizon de SOL, Expositiones Math.16, No 5 (1998), pp. 441-479. Zbl0939.53042MR1656902
  10. [10] Zucker ( S.) .— Lp-cohomology: Banach Spaces and Homological Methods on Riemannian Manifolds, Proceedings Symp. Pure Math.Part 2, 54 (1993), pp. 637-655. Zbl0805.55006MR1216571
  11. [11] Scott ( P.) .— The Geometries of 3-manifolds, Bull. London Math. Soc.15 (1983), pp. 401-487. Zbl0561.57001MR705527

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