Holomorphic Isometries on Complex Finsler Manifolds

This paper gives a geometric description of the critical points of the displacement function of a holomorphic isometry for complex Finsler manifolds. It also considers the 1-real parameter group of holomorphic isometries and obtains some rigid results.

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Bibliographische Detailangaben
Veröffentlicht in:	The Journal of Geometric Analysis 2016-04, Vol.26 (2), p.1269-1279
1. Verfasser:	Yan, Rongmu
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Global Analysis and Analysis on Manifolds Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	This paper gives a geometric description of the critical points of the displacement function of a holomorphic isometry for complex Finsler manifolds. It also considers the 1-real parameter group of holomorphic isometries and obtains some rigid results.
ISSN:	1050-6926 1559-002X
DOI:	10.1007/s12220-015-9591-9