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Nonpositive sectional curvature for  -complexes
Author(s):
Daniel
T.
Wise
Journal:
Proc. Amer. Math. Soc.
136
(2008),
41-48.
MSC (2000):
Primary 20F67
Posted:
September 26, 2007
MathSciNet review:
2350386
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Additional information
Abstract:
We give a criterion for the nonpositive sectional curvature of  -complexes. As a consequence, we show that certain  -complexes have locally indicable, coherent and even locally quasiconvex fundamental groups.
References:
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Locally quasiconvex small-cancellation groups.
Trans. Amer. Math. Soc.
To Appear. - 6.
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Sectional curvature, compact cores, and local quasiconvexity.
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Coherence, local-indicability, and nonpositive immersions.
Preprint. - 8.
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Preprint.
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Additional Information:
Daniel
T.
Wise
Affiliation:
Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada
Email:
wise@math.mcgill.ca
DOI:
10.1090/S0002-9939-07-08921-6
PII:
S 0002-9939(07)08921-6
Keywords:
Coherent groups,
nonpositive sectional curvature
Received by editor(s):
December 17, 2003
Received by editor(s) in revised form:
September 8, 2006
Posted:
September 26, 2007
Additional Notes:
The author's research was supported by grants from NSERC and FCAR
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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