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Smooth manifolds and smooth functions between them. For manifolds with additional structure, see more specific tags, such as [riemannian-geometry]. For more topological aspects, see [differential-topology].

6 votes

book on calabi yau manifolds

I would also add the following book: Dominic Joyce, Compact Manifolds with Special Holonomy The early parts of the book include an introduction to the Riemannian geometry of Calabi-Yau manifolds. It …
Spiro Karigiannis's user avatar
1 vote

local kählerforms on complex manifold

(I decided to repost multiple comments as an answer. It's partly an answer if I understand the OP correctly.) I think the OP does not necessarily want to conclude that these "local" forms are the res …
Spiro Karigiannis's user avatar