Geodesic
The trace of the curvature determines similarity
Yingli Hou1 ; Kui Ji1 ; Hyun-Kyoung Kwon2
1 Department of Mathematics Hebei Normal University Shijiazhuang, Hebei, 050016, China
2 Department of Mathematics The University of Alabama Tuscaloosa, AL 35487, U.S.A.
Studia Mathematica, Tome 236 (2017) no. 2, pp. 193-200 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that the quantity that appears in a recent similarity characterization for Cowen–Douglas operators is the trace of the curvature of the eigenvector bundle. This gives the first geometric interpretation of the similarity of operators.
DOI : 10.4064/sm8588-9-2016
Keywords: prove quantity appears recent similarity characterization cowen douglas operators trace curvature eigenvector bundle gives first geometric interpretation similarity operators

Yingli Hou 1 ; Kui Ji 1 ; Hyun-Kyoung Kwon 2

1 Department of Mathematics Hebei Normal University Shijiazhuang, Hebei, 050016, China
2 Department of Mathematics The University of Alabama Tuscaloosa, AL 35487, U.S.A. 
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Yingli Hou; Kui Ji; Hyun-Kyoung Kwon. The trace of the curvature determines similarity. Studia Mathematica, Tome 236 (2017) no. 2, pp. 193-200. doi: 10.4064/sm8588-9-2016

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