Gromov

不知道為什麼喜歡Misha Gromv(1943~ )，也許是因為一句話：

數學是可以生死以之的一生志業。

Gromov是大域黎曼幾何 global symplectic geometry 幾何群論偏微分方程大師。

Gromov's compactness theorem
Gromov-Hausdorff convergence
The theorem of almost flat manifolds
Gromov's Betti number theorem
the Bishop-Gromov inequality in Riemannian Geometry
the theory of J-holomorphic curves (holomorphic全純 analytic 解析是complex analysis的東西)
the Gromov-Witten invariants
...

辛幾何---theory of J-holomorphic curves，which led to the creation of symplectic topology and became linked to quantum field theory。

Every manifold admitting a sequence of metrics such that the diameter and curvature go to zero is finitely covered by a nimanifold。

Which were used in describing the general phenomoneon of "collapse with bounded curvature"。