Skip to main content

All Questions

Filter by
Sorted by
Tagged with
17 votes
0 answers
770 views

What are hyperkähler metrics used for?

It seems that a lot of effort has been devoted to endow holomorphic-symplectic manifolds with hyperkähler metrics. It started with Calabi [4] with $T^*\mathbb{CP}^n$. Other examples include coadjoint ...
user129123's user avatar
7 votes
2 answers
323 views

Motivations for the study of dual connections

I am intrigued by the notion of dual connections: two affine connections $\nabla$ and $\nabla^*$ are called dual if they satisfy $$X(g(Y,Z))=g(\nabla_XY,Z)+g(Y,\nabla^*_XZ)$$ for a given (pseudo)-...
user56980's user avatar
  • 442