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日前，北京理工大学数学与统计学院郑涛副研究员在数学顶级学术期刊《Advances in Mathematics》在线发表题为“Transverse fully nonlinear equations on Sasakian manifolds and applications”的研究论文。该论文研究了Sasaki流形上一类完全非线性方程的可解性，作为几何应用，证明了Sasaki流形上横截（强）Ga...
日前，北京理工大学数学与统计学院郑涛副研究员在数学顶级学术期刊《Advances in Mathematics》在线发表题为“Transverse fully nonlinear equations on Sasakian manifolds and applications”的研究论文。该论文研究了Sasaki流形上一类完全非线性方程的可解性，作为几何应用，证明了Sasaki流形上横截(强)Ga...
Multi-Matrix Models and Tri-Sasaki Einstein Spaces
Multi-Matrix Models Tri-Sasaki Einstein Spaces
2010/12/24
Localization methods reduce the path integrals in {\cal N} >= 2 supersymmetric Chern-Simons gauge theories on S^3 to multi-matrix integrals. A recent evaluation of such a two-matrix integral for the {...
M-theory and Seven-Dimensional Inhomogeneous Sasaki-Einstein Manifolds
M-theory Seven-Dimensional Sasaki-Einstein Manifolds
2010/12/24
Seven-dimensional inhomogeneous Sasaki-Einstein manifolds $Y^{p,k}(KE_4)$ present a challenging example of AdS/CFT correspondence. At present, their field theory duals for $KE_4=\mathbb{CP}^2$ base ar...
Convergence of vector bundles with metrics of Sasaki-type
Convergence vector bundles metrics of Sasaki-type
2010/11/9
If a sequence of Riemannian manifolds, $X_i$, converges in the pointed Gromov-Hausdorff sense to a limit space, $X_\infty$, and if $E_i$ are vector bundles over $X_i$ endowed with metrics of Sasaki-t...