A new invariant Kähler metric on relatively compact domains in a complex manifold

Bo-Yong Chen

Annales Polonici Mathematici (2007)

  • Volume: 91, Issue: 2-3, page 147-159
  • ISSN: 0066-2216

Abstract

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We introduce a new invariant Kähler metric on relatively compact domains in a complex manifold, which is the Bergman metric of the L² space of holomorphic sections of the pluricanonical bundle equipped with the Hermitian metric introduced by Narasimhan-Simha.

How to cite

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Bo-Yong Chen. "A new invariant Kähler metric on relatively compact domains in a complex manifold." Annales Polonici Mathematici 91.2-3 (2007): 147-159. <http://eudml.org/doc/280877>.

@article{Bo2007,
abstract = {We introduce a new invariant Kähler metric on relatively compact domains in a complex manifold, which is the Bergman metric of the L² space of holomorphic sections of the pluricanonical bundle equipped with the Hermitian metric introduced by Narasimhan-Simha.},
author = {Bo-Yong Chen},
journal = {Annales Polonici Mathematici},
keywords = {Hilbert spaces; Bergman kernel form; Bergman metric},
language = {eng},
number = {2-3},
pages = {147-159},
title = {A new invariant Kähler metric on relatively compact domains in a complex manifold},
url = {http://eudml.org/doc/280877},
volume = {91},
year = {2007},
}

TY - JOUR
AU - Bo-Yong Chen
TI - A new invariant Kähler metric on relatively compact domains in a complex manifold
JO - Annales Polonici Mathematici
PY - 2007
VL - 91
IS - 2-3
SP - 147
EP - 159
AB - We introduce a new invariant Kähler metric on relatively compact domains in a complex manifold, which is the Bergman metric of the L² space of holomorphic sections of the pluricanonical bundle equipped with the Hermitian metric introduced by Narasimhan-Simha.
LA - eng
KW - Hilbert spaces; Bergman kernel form; Bergman metric
UR - http://eudml.org/doc/280877
ER -

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