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research
On the zero set of the Kobayashi--Royden pseudometric of the spectral unit ball
Authors
Nikolai Nikolov
Pascal J. Thomas
Publication date
13 November 2007
Publisher
Doi
Cite
View
on
arXiv
Abstract
Given
A
∈
Ω
n
,
A\in\Omega_n,
A
∈
Ω
n
​
,
the
n
2
n^2
n
2
-dimensional spectral unit ball, we show that
B
B
B
is a "generalized" tangent vector at
A
A
A
to an entire curve in
Ω
n
\Omega_n
Ω
n
​
if and only if
B
B
B
is in the tangent cone
C
A
C_A
C
A
​
to the isospectral variety at
A
.
A.
A
.
In the case of
Ω
3
,
\Omega_3,
Ω
3
​
,
the zero set of this metric is completely described.Comment: minor changes; to appear in Ann. Polon. Mat
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Scientific Publications of the University of Toulouse II Le Mirail
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HAL-INSA Toulouse
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oai:HAL:hal-00321221v1
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Crossref
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