Research on the singularities and the event horizon in the brane world model

膜世界模型中的奇点和视界研究

• 批准号: 21654007
• 负责人: IZUMIYA Shyuichi
• 金额: $ 2.11万
• 依托单位: Hokkaido University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Challenging Exploratory Research
• 财政年份: 2009
• 资助国家: 日本
• 起止时间: 2009 至 2011
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21654007/
• 关键词: ブレーン; 特異点論; 焦面; 事象の地平線; ブラックホール; ブレーン宇宙論; 反ド・ジッター空間; ミンコフスキー空間; 世界膜; 光的タイト部分多様体; 限界捕捉面; ブレーンワールド; ミンコフスキー時空; 極小曲面; 極大曲面; 平均曲率一定

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.

研究了反德西特时空和闵可夫斯基时空中类空间子流形几何不变量的局部和全局性质。因此，我们为类空间子流形引入了类光紧性的概念。我们还确定了闵可夫斯基时空中图型边缘俘获曲面的偏微分方程。

项目成果

Singularities of caustics emitted by timelike hypersurfaces in Anti de Sitter space

反德西特空间中类时超曲面发出的焦散的奇点

• 发表时间: 2009
• 作者: Shyuichi Izumiya;Maria del Carmen Romero Fuster and Kentaro Saji;Shyuichi Izumiya;S.Izumiya;S.Izumiya;S.Izumiya;泉屋周一;泉屋周一;Shyuichi Izumiya;Shyuichi Izumiya;Shyuichi Izumiya;Shyuichi Izumiya
• 通讯作者: Shyuichi Izumiya

Folding maps on spacelike and timelike surfaces, duality

类空间和类时间表面上的折叠地图，二元性

• 发表时间: 2010
• 期刊: Osaka Journal of Mathematics
• 影响因子: 0.4
• 作者: S. Izumiya;K. Saji and M. Takahashi;S. Izumiya and F. Tari;Liang Chen and Shyuichi Izumiya;Shyuichi Izumiya;Shyuichi Izumiya and Farid Tari;Sachiko Chino and Shyuichi Izumiya;Shyuichi Izumiya;Shyuichi Izumiya
• 通讯作者: Shyuichi Izumiya

Horospherical geometry in the hyperbolic space

双曲空间中的星球几何

• 发表时间: 2009
• 期刊: Advanced Studies in Pure Mathematics
• 作者: Shyuichi Izumiya;Maria del Carmen Romero Fuster and Kentaro Saji;Shyuichi Izumiya
• 通讯作者: Shyuichi Izumiya

Legendrian dualities and spacelike hypersurfaces in the lightcone

• DOI: 10.17323/1609-4514-2009-9-2-325-357
• 发表时间: 2004
• 作者: S. Izumiya

The mandala of Legendrian dualities for pseudo-spheres in Lorentz-Min kowski space, "flat" spacelike surfaces

洛伦兹-敏科夫斯基空间中赝球体的勒让德对偶曼陀罗，“平坦”类空间表面

• 发表时间: 2010
• 期刊: Journal of Singularities
• 影响因子: 0.4
• 作者: S. Izumiya;K. Saji and M. Takahashi;S. Izumiya and F. Tari;Liang Chen and Shyuichi Izumiya;Shyuichi Izumiya;Shyuichi Izumiya and Farid Tari;Sachiko Chino and Shyuichi Izumiya;Shyuichi Izumiya;Shyuichi Izumiya;Shyuichi Izumiya
• 通讯作者: Shyuichi Izumiya