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math.DG — Differential Geometry

Seven Research Directions in Differential Geometry and Differential Topology Enabled by AI

Contributed by Jianqiao Shang

This article presents seven AI-generated research directions in differential geometry and differential topology, each centered on a proposed research object or formulation. For each direction, we provide basic definitions and theorems, discuss connections with existing mathematical problems and theories, and outline questions for further study. The definitions introduced in these seven directions are relatively new. The article is intended as a collection of AI-generated research guides rather than a conventional research paper.

Primarily AI-generated textHuman understanding: all parts

Nov 10, 202656 pages

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Seven Research Directions in Differential Geometry and Differential Topology Enabled by AI

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