Geometry of balls in nilpotent Lie groups
Ron Karidi
Source: Duke Math. J. Volume 74, Number 2
(1994), 301-317.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077288203
Mathematical Reviews number (MathSciNet): MR1272979
Zentralblatt MATH identifier: 0810.53041
Digital Object Identifier: doi:10.1215/S0012-7094-94-07415-2
References
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Mathematical Reviews (MathSciNet): MR91g:17015
Zentralblatt MATH: 0717.17006
Digital Object Identifier: doi:10.1016/0021-8693(90)90156-I
[2] Y. Guivarc'h, Croissance polynomiale et périodes des fonctions harmoniques, Bull. Soc. Math. France 101 (1973), 333–379.
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Zentralblatt MATH: 0294.43003
[3] R. Karidi, Ricci curvature and volume growth in nilpotent and some solvable Lie groups, C. R. Acad. Sci. Paris Sér. I Math. 314 (1992), no. 7, 551–556.
Mathematical Reviews (MathSciNet): MR93d:53060
Zentralblatt MATH: 0748.53023
[4] R. Karidi, Ricci structure and volume growth for left invariant Riemannian metrics on nilpotent and some solvable Lie groups, Geom. Dedicata 46 (1993), no. 3, 249–277.
Mathematical Reviews (MathSciNet): MR94e:53048
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Digital Object Identifier: doi:10.1007/BF01263618
[5] R. Karidi, Realizing nilpotent Lie algebras of vector fields over $\mathbfR^n$, submitted.
[6] J. Milnor, A note on curvature and fundamental group, J. Differential Geometry 2 (1968), 1–7.
Mathematical Reviews (MathSciNet): MR38:636
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Project Euclid: euclid.jdg/1214501132
[7] A. Nagel, E. M. Stein, and S. Wainger, Balls and metrics defined by vector fields. I. Basic properties, Acta Math. 155 (1985), no. 1-2, 103–147.
Mathematical Reviews (MathSciNet): MR86k:46049
Zentralblatt MATH: 0578.32044
Digital Object Identifier: doi:10.1007/BF02392539
[8] J. A. Wolf, Growth of finitely generated solvable groups and curvature of Riemanniann manifolds, J. Differential Geometry 2 (1968), 421–446.
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Project Euclid: euclid.jdg/1214428658
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