I am very interested in this subject.

[HongLouyemeng]

Hi lezcano Could you provide me with some advice If I want to study the topic of optimization of manifolds and Euclid in the long term. Now, The only deficiency is I have only a basic knowledge of Riemann manifolds, fiber bundle and topology

[lezcano]

To learn about optimisation on manifolds, differential and Riemannian geometry is essential. You can have a look at Lee's book "Introduction to Smooth Manifolds" for a basic introduction, or take / read relevant courses in these areas. Find a course that you feel comfortable reading from a university and read through it. Then take another one and repeat :)

Depending on your maths level, you may be comfortable reading more advanced books on the topic. A second book on Riemannian geometry that I particularly like is Peter Petersen's "Riemannian Geometry", but again, I would not use this one as an introductory book.

[HongLouyemeng]

To learn about optimisation on manifolds, differential and Riemannian geometry is essential. You can have a look at Lee's book "Introduction to Smooth Manifolds" for a basic introduction, or take / read relevant courses in these areas. Find a course that you feel comfortable reading from a university and read through it. Then take another one and repeat :)

Depending on your maths level, you may be comfortable reading more advanced books on the topic. A second book on Riemannian geometry that I particularly like is Peter Petersen's "Riemannian Geometry", but again, I would not use this one as an introductory book.

Thanks for the reply, I will try it.😊😊