Curvature in Nilpotent Lie Groups

Joseph A. Wolf

Type: Article

Publication Date: 1964-04-01

Citations: 12

DOI: https://doi.org/10.2307/2034049

View Publication

Download PDF

Locations

Proceedings of the American Mathematical Society - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Curvature properties of metric nilpotent Lie algebras which are independent of metric	2016	Grant Cairns Ana Hinić Galić Yuri Nikolayevsky
+	Positive Curvature Property for Sub-Laplacian on Nilpotent Lie Group of Rank Two	2013	Bin Qian
+ PDF Chat	Curvature of a semi-direct extension of a Heisenberg type nilpotent group	1987	Ewa Damek
+ PDF Chat	The prescribed Ricci curvature problem on 5-dimensional nilpotent Lie groups	2024	Marius Landry Foka Salomon Joseph Mbatakou Romain Nimpa Pefoukeu Michel Bertrand Ngaha Djiadeu Thomas Bouétou Bouétou
+	Nilpotent Lie groups	1986	Michael Taylor
+ PDF Chat	Ricci curvature in Carnot groups	2013	Ludovic Rifford
+	Negative Ricci curvature on complex simple Lie groups	1984	Isabel Dotti Miatello Maria Luiza Leite Roberto J. Miatello
+ PDF Chat	Positive scalar curvature and local actions of nonabelian Lie groups	1990	Marek Lewkowicz
+	On Lie Groups with Recurrent Curvature in Dimension Four	2021	Milad Bastami Amirhesam Zaeim Ali Haji‐Badali
+	Pseudo-Riemannian Nilpotent Lie Groups	2006	P. E. Parker
+	4 The deformation space for nilpotent Lie groups	2022
+	Curvature in noncommutative geometry	2019	Farzad Fathizadeh Masoud Khalkhali
+ PDF Chat	Negative Ricci curvature on some non-solvable Lie groups II	2019	Cynthia E. Will
+ PDF Chat	Nilpotent Lie Groups:	1976	Roe Goodman
+ PDF Chat	Curvature in nilpotent Lie groups	1964	Joseph A. Wolf
+	Torsion in lie groups and related spaces	1966	Bruno Harris
+	Nilpotency of Lie algebras	1962	Donald W. Barnes
+	Affinely flat structures on nilpotent lie groups	1998	장경수
+	Geometry of homogeneous Lie loops	1975	Michihiko Kikkawa
+	Geometry of homogeneous Lie loops	1975	通彦吉川

Works That Cite This (11)

Action	Title	Year	Authors
+ PDF Chat	A compatibility condition between invariant riemannian metrics and Levi-Whitehead decompositions on a coset space	1969	Joseph A. Wolf
+ PDF Chat	A Compatibility Condition Between Invariant Riemannian Metrics and Levi-Whitehead Decompositions on a Coset Space	1969	Joseph A. Wolf
+	Curvatures of left invariant metrics on lie groups	1976	John Milnor
+ PDF Chat	Homogeneous Einstein spaces of dimension four	1969	Gary R. Jensen
+ PDF Chat	Growth of finitely generated solvable groups and curvature of Riemannian manifolds	1968	Joseph A. Wolf
+ PDF Chat	The large scale geometry of nilpotent Lie groups	2001	Scott D. Pauls
+	Higher divergence for nilpotent Lie groups	2019	Moritz Gruber
+	Geometria diferencial em grupos de Lie	2013	Éder Corrêa
+	On the Classification of Generalized Pseudo-Orthogonal Lie Groups via Curvature, Cohomology, and Algebraic Structure	2022	Adam C Fletcher
+ PDF Chat	Critical Homogeneous Metrics on the Heisenberg Manifold	2005	Joon Sik Park

Works Cited by This (3)

Action	Title	Year	Authors
+	On locally symmetric spaces of non-negative curvature and certain other locally homogeneous spaces	1962	Joseph A. Wolf
+ PDF Chat	Homogeneity and bounded isometries in manifolds of negative curvature	1964	Joseph A. Wolf
+	Invariant Affine Connections on Homogeneous Spaces	1954	Katsumi Nomizu