2011 Fiscal Year Final Research Report
Research on the singularities and the event horizon in the brane world model
| Project/Area Number |
21654007
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Hokkaido University |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2011
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| Keywords | ブレーン / 特異点論 / 焦面 / 事象の地平線 / ブラックホール |
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| Research Abstract |
We have progressed the research on local and global properties of geometric invariants for spacelike submanifolds in anti de Sitter space-time and Minkowski space-time. As a consequence, we have introduced the notion of lightlike tightness for spacelike submanifolds. We have also determined the partial differential equations for Marginally trapped sufaces of graph type in Minkowski space-time.
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