Editing Riemannian manifold (section)

=== Sources ===

{{refbegin}}
* {{cite book|last1=Besse|first1=Arthur L.|title=Einstein manifolds|series=Ergebnisse der Mathematik und ihrer Grenzgebiete (3)|volume=10|publisher=[[Springer-Verlag]]|location=Berlin|year=1987|isbn=3-540-15279-2|mr=0867684|doi=10.1007/978-3-540-74311-8|author-link1=Arthur Besse|zbl=0613.53001}}
* {{cite book|mr=2394158|last1=Cheeger|first1=Jeff|zbl=1142.53003|last2=Ebin|first2=David G.|title=Comparison theorems in Riemannian geometry|edition=Revised reprint of the 1975 original|publisher=[[Chelsea Publishing Company|AMS Chelsea Publishing]]|location=Providence, RI|year=2008|isbn=978-0-8218-4417-5|author-link1=Jeff Cheeger|author-link2=David Gregory Ebin|doi=10.1090/chel/365}}
*{{Cite book | last1=do Carmo | first1=Manfredo Perdigão |authorlink=Manfredo do Carmo | title=Riemannian geometry | publisher=[[Birkhäuser Boston]] | location=Boston, MA | series=Mathematics: Theory & Applications | isbn=978-0-8176-3490-2 |mr=1138207 | year=1992|edition=Translated from the second Portuguese edition of 1979 original|zbl=0752.53001}}
* {{cite book|last1=Gromov|first1=Misha|title-link=Metric Structures for Riemannian and Non-Riemannian Spaces|title=Metric structures for Riemannian and non-Riemannian spaces|edition=Based on the 1981 French original|series=Progress in Mathematics|volume=152|publisher=[[Birkhäuser|Birkhäuser Boston, Inc.]]|location=Boston, MA|year=1999|isbn=0-8176-3898-9|mr=1699320|translator-last1=Bates|translator-first1=Sean Michael|others=With appendices by [[Mikhail Katz|M. Katz]], [[Pierre Pansu|P. Pansu]], and [[Stephen Semmes|S. Semmes]].|doi=10.1007/978-0-8176-4583-0|zbl=0953.53002|author-link1=Mikhael Gromov (mathematician)}}
* {{cite book|author-link1=Shoshichi Kobayashi|author-link2=Katsumi Nomizu|last1=Kobayashi|first1=Shoshichi|last2=Nomizu|title-link=Foundations of Differential Geometry|first2=Katsumi|title=Foundations of differential geometry. Volume I |publisher=[[John Wiley & Sons, Inc.]]|location=New York–London|year=1963|mr=0152974|zbl=0119.37502}}
* {{cite book|author-last=Lee|author-first=John M.|author-link=John M. Lee|title=Introduction to Riemannian Manifolds|date=2018|publisher=[[Springer Science+Business Media|Springer-Verlag]]|isbn=978-3-319-91754-2}}
*{{cite book|last1=Petersen|first1=Peter|title=Riemannian geometry|edition=Third edition of 1998 original|series=[[Graduate Texts in Mathematics]]|volume=171|publisher=[[Springer Publishing|Springer, Cham]]|year=2016|isbn=978-3-319-26652-7|mr=3469435|doi=10.1007/978-3-319-26654-1|zbl=1417.53001}}
* {{cite book | last = Wolf | first = Joseph A. | edition = Sixth edition of 1967 original | isbn = 978-0-8218-5282-8 | mr = 2742530 | publisher = [[Chelsea Publishing Company|AMS Chelsea Publishing]]|location=Providence, RI | title = Spaces of constant curvature  | year = 2011|author-link1=Joseph A. Wolf|zbl=1216.53003|doi=10.1090/chel/372}}
* {{cite journal |last1=Burtscher |first1=Annegret |title=Length structures on manifolds with continuous Riemannian metrics |journal=New York Journal of Mathematics |year=2015 |volume=21 |pages=273–296 |issn=1076-9803}}
* {{cite journal |last1=Magnani |first1=Valentino |last2=Tiberio |first2=Daniele |title=A remark on vanishing geodesic distances in infinite dimensions |journal=Proc. Amer. Math. Soc. |date=2020 |volume=148 |issue=1 |pages=3653–3656 |doi=10.1090/proc/14986 |s2cid=204578276 |arxiv=1910.06430 }}
* {{cite journal |arxiv=math/0409303|last1=Michor |first1=Peter W. |last2=Mumford |first2=David |title=Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms |journal=Documenta Mathematica |year=2005 |volume=10 |pages=217–245 |doi=10.4171/dm/187 |doi-access=free |s2cid=69260 }}
* {{cite journal|last1=Milnor|first1=John|author-link1=John Milnor|title=Curvatures of left invariant metrics on Lie groups|journal=[[Advances in Mathematics]]|volume=21|pages=293–329|year=1976|issue=3|doi=10.1016/S0001-8708(76)80002-3|doi-access=free|zbl=0341.53030|mr=0425012}}
{{refend}}