1 F. Lamontagne, "Une remarque sur la norme L2 du tenseur de courbure" 319 (319): 237-240, 1994
2 Guangyue Huang, "The classification of $$(m, \rho)$$ -quasi-Einstein manifolds" Springer Science and Business Media LLC 44 (44): 269-282, 2013
3 Giovanni Catino, "Some rigidity results on critical metrics for quadratic functionals" Springer Science and Business Media LLC 54 (54): 2921-2937, 2015
4 G. Huang, "Some characterizations on critical metrics for quadratic curva-ture functions" 146 (146): 385-395, 2018
5 H. Fu, "Rigidity theorems for compact Bach-at manifolds with positive constant scalar curvature" 47 (47): 581-605, 2018
6 Bingqing Ma, "Rigidity of complete noncompact Riemannian manifolds with harmonic curvature" Elsevier BV 124 : 233-240, 2018
7 Guangyue Huang, "Rigidity of Riemannian manifolds with positive scalar curvature" Springer Science and Business Media LLC 54 (54): 257-272, 2018
8 Bingqing Ma, "Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds" Elsevier BV 175 : 237-248, 2018
9 Matthew J. Gursky, "Rigidity and stability of Einstein metrics for quadratic curvature functionals" Walter de Gruyter GmbH 2015 (2015): 37-91, 2015
10 G. Huisken, "Ricci deformation of the metric on a Riemannian manifold" 21 (21): 47-62, 1985
1 F. Lamontagne, "Une remarque sur la norme L2 du tenseur de courbure" 319 (319): 237-240, 1994
2 Guangyue Huang, "The classification of $$(m, \rho)$$ -quasi-Einstein manifolds" Springer Science and Business Media LLC 44 (44): 269-282, 2013
3 Giovanni Catino, "Some rigidity results on critical metrics for quadratic functionals" Springer Science and Business Media LLC 54 (54): 2921-2937, 2015
4 G. Huang, "Some characterizations on critical metrics for quadratic curva-ture functions" 146 (146): 385-395, 2018
5 H. Fu, "Rigidity theorems for compact Bach-at manifolds with positive constant scalar curvature" 47 (47): 581-605, 2018
6 Bingqing Ma, "Rigidity of complete noncompact Riemannian manifolds with harmonic curvature" Elsevier BV 124 : 233-240, 2018
7 Guangyue Huang, "Rigidity of Riemannian manifolds with positive scalar curvature" Springer Science and Business Media LLC 54 (54): 257-272, 2018
8 Bingqing Ma, "Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds" Elsevier BV 175 : 237-248, 2018
9 Matthew J. Gursky, "Rigidity and stability of Einstein metrics for quadratic curvature functionals" Walter de Gruyter GmbH 2015 (2015): 37-91, 2015
10 G. Huisken, "Ricci deformation of the metric on a Riemannian manifold" 21 (21): 47-62, 1985
11 A. Barros, "On locally conformally flat critical metrics for quadratic functionals" Springer Science and Business Media LLC 52 (52): 1-9, 2017
12 G. Catino, "On conformally at manifolds with constant positive scalar curvature" 144 (144): 2627-2634, 2016
13 Huai-Dong Cao, "On Bach-flat gradient shrinking Ricci solitons" Duke University Press 162 (162): 1149-1169, 2013
14 Giovanni Catino, "Integral pinched shrinking Ricci solitons" Elsevier BV 303 : 279-294, 2016
15 Michael T. Anderson, "Extrema of curvature functionals on the space of metrics on 3-manifolds" Springer Science and Business Media LLC 5 (5): 199-269, 1997
16 A. L. Besse, "Einstein Manifolds, Classics in Mathematics" Springer-Verlag 1987
17 D. Hilbert, "Die Grundlagen der Physik" 4 : 461-472, 1915
18 Zejun Hu, "Critical metrics of the Schouten functional" Springer Science and Business Media LLC 98 (98): 91-113, 2010
19 Weimin Sheng, "Bach-flat critical metrics for quadratic curvature functionals" Springer Science and Business Media LLC 54 (54): 365-375, 2018
20 Matthew J. Gursky, "A new variational characterization of three-dimensional space forms" Springer Science and Business Media LLC 145 (145): 251-278, 2001
21 Zejun Hu, "A new variational characterization of $n$-dimensional space forms" American Mathematical Society (AMS) 356 (356): 3005-3023, 2004
22 François Lamontagne, "A critical metric for the L2-norm of the curvature tensor on S3" American Mathematical Society (AMS) 126 (126): 589-593, 1998