In 2 ¡Ñ2 case,we discuss the uniqueness of the
u-invariant measure on projective space.Under the condition that |detM|=1 for any M in Gu and Gu is not compact,we have the followings:
(1) For any x in P(R^2),if #{M¡Dx|M belongs Gu}>2, then the u-invariant measure is unique.
(2) For some x in P(R^2),there exists
x1,x2 such that {M¡Dx|M belongs Gu} is contained in {x1,x2},if x1 and x2 are both fixed,then the
u-invariant measure v is not unique;otherwise,if u has mass only on x1 and x2,then the u-invariant
measure is unique.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0613102-133939 |
| Date | 13 June 2002 |
| Creators | Chao, Chihyi |
| Contributors | Jhishen Tsay, none, Tsai-Lien Wong |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0613102-133939 |
| Rights | unrestricted, Copyright information available at source archive |
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