2009 Fiscal Year Final Research Report
Geometric Structures and Topology
| Project/Area Number |
19540088
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Okayama University |
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Principal Investigator |
KATSUDA Atsushi Okayama University, 大学院・自然科学研究科, 准教授 (60183779)
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| Co-Investigator(Renkei-kenkyūsha) |
KIYOHARA Kazuyoshi 岡山大学, 大学院・自然科学研究科, 教授 (80153245)
TAMURA Hideo 岡山大学, 大学院・自然科学研究科, 教授 (30022734)
SHIMAKAWA Kazuhisa 岡山大学, 大学院・自然科学研究科, 教授 (70109081)
IKEDA Akira 岡山大学, 大学院・自然科学研究科, 教授 (30093363)
SAKAI Takashi 岡山理科大学, 理学部, 教授 (70005809)
TAKEUCHI Hiroshi 四国大学, 経営情報学部, 教授 (20197271)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 逆問題 / ラプラシアン / スペクトル |
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| Research Abstract |
It is one of the main problems to investigate relations between analytic invariants of surfaces or its higher dimensional analogue manifolds and geometric structures, curvatures and topology, which is called the spectral geometry. On the other hands, there are many researches as inverse problems, which is the mathematics related to CT-scanner and non destructive investigation. Here, we consider the spectral inverse problem on manifolds with boundary, which lies the intersection of the above fields. Especially, relating to the stability that is how much know about the geometric structure when one only knows incomplete analytic data with errors, we consider relations of the boundary distance with the inner metric and topology.
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Research Products
(29 results)
