caa a22 4500 606200711 CHVBK 20210128100945.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s00025-014-0393-3 doi (NATIONALLICENCE)springer-10.1007/s00025-014-0393-3 On Variational Formulas of a Conformally Invariant Functional [Elektronische Daten] [Xi Guo, Haizhong Li, Guoxin Wei] We consider a conformally invariant functional of the space of Riemannian metrics, compute its first variational formula and obtain some examples of its critical point. Then we compute the second variation of the conformally invariant functional about the above examples and get some stability results. These results extend theorems of Kobayashi (J Math Soc Jpn 37:373-389, 1985). Springer Basel, 2014 Weyl curvature tensor nationallicence Riemannian functional nationallicence Guo Xi School of Mathematics and Computer Science, Hubei University, 430062, Wuhan, People's Republic of China aut Li Haizhong Department of mathematical sciences, Tsinghua University, 100084, Beijing, People's Republic of China aut Wei Guoxin School of Mathematical Sciences, South China Normal University, 510631, Guangzhou, People's Republic of China aut Results in Mathematics Springer Basel 67/1-2(2015-02-01), 49-70 1422-6383 67:1-2<49 2015 67 25 https://doi.org/10.1007/s00025-014-0393-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00025-014-0393-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Guo Xi School of Mathematics and Computer Science, Hubei University, 430062, Wuhan, People's Republic of China aut NATIONALLICENCE 700 1- Li Haizhong Department of mathematical sciences, Tsinghua University, 100084, Beijing, People's Republic of China aut NATIONALLICENCE 700 1- Wei Guoxin School of Mathematical Sciences, South China Normal University, 510631, Guangzhou, People's Republic of China aut NATIONALLICENCE 773 0- Results in Mathematics Springer Basel 67/1-2(2015-02-01), 49-70 1422-6383 67:1-2<49 2015 67 25