# The normalized ricci flow on four-manifolds and exotic smooth structures

Masashi Ishida

1 被引用数 (Scopus)

## 抄録

We shall prove that, for every natural number I there exists a closed topological 4-manifold X which admits smooth structures for which non-singular solutions of the normalized Ricci flow exist, but also admits smooth structures for which no non-singular solution of the normalized Ricci flow exists. Hence, in dimension 4, smooth structures become definite obstructions to the existence of non-singular solutions to the normalized Ricci flow.

本文言語 English 903-918 16 Asian Journal of Mathematics 20 5 https://doi.org/10.4310/AJM.2016.v20.n5.a4 Published - 2016

• 数学 (全般)
• 応用数学

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