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We prove that an infinitesimally Hilbertian CD(0,N) space containing a line splits as the product of $R$ and an infinitesimally Hilbertian CD(0,N-1) space.
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Reprint of the 1980 original
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N. Shanmugalingam
2000
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With an author commentary: Enriched categories in the logic of geometry and analysis
F. W. Lawvere · 2002
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L. Ambrosio
2004
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A. Björn and J. Björn
2007
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S. Lisini
2007
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J. Lott and C. Villani
2007
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L. Ambrosio, N. Gigli, and G. Savaré
Preprint, arXiv:1109.0222, 2011
2011
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A. Figalli and N. Gigli
2011
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Preprint, arXiv:1112.0099, 2011
S. Honda · 2011
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K. Kuwae and T. Shioya
2011
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Preprint, arXiv:1105.0983, 2011
S.-i. Ohta and K.-T. Sturm · 2011
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2008
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S. Daneri and G. Savaré
2008
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S.-i. Ohta
2009
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C. Villani
2009
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K. Bacher and K.-T. Sturm
2010
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2012
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Preprint, arXiv:1209.5909, 2012
F. Cavalletti · 2012
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F. Cavalletti and K.-T. Sturm
2012
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Preprint, arXiv:1205.6622, 2012
2012
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Accepted at JMPA, arXiv:1209.3796, 2012
N. Gigli and A. Mondino · 2012
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Accepted at DCDS-A, arXiv:1209.3813, 2012
N. Gigli and S. Mosconi · 2012
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P. Koskela and Y. Zhou
2012
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Preprint, arXiv:1203.0079, 2012
2012
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T. Rajala
2012
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Preprint, arXiv:1207.6754, 2012
T. Rajala and K.-T. Sturm · 2012
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Preprint, 2012
G. Savaré · 2012
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N. Gigli, K. Kuwada, and S.-i. Ohta
2013
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Preprint, 2013
N. Gigli, A. Mondino, and G. Savaré · 2013
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