Books about Kähler manifolds, Ricci flatness and other things

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The discussion centers on seeking book recommendations for studying Kähler manifolds, Ricci flatness, and related mathematical concepts in theoretical physics. The individual, a pensioner with a background in electronics and a keen interest in physics, expresses a desire for comprehensive resources beyond Wikipedia. They mention having already explored various areas of physics and are currently delving into string theory. A specific book, Nakahara, is highlighted as a promising starting point for their studies. The conversation concludes with a positive note, reflecting the individual's enthusiasm for learning.
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Summary:: Books about Kähler manifolds, Ricci flatness and similar things

Hi,

I have an MSc degree in electronics, and I worked with IT. I was always interested in theoretical physics and did extra studies of this in my youth. Now as a pensioner I do private studies for fun. I have studied quantum physics, elementary particle physics, general theory of relativity, and group theory, and now I am into string theory. I run into some mathematics that is new to me, like Kähler manifolds, Ricci flatness, Chern classes, canonical bundles, metrics with global holonomy, and similar things. I look at them in Wikipedia, but I feel the need for a more wholesome treatment, that is books about these things. So please give me tips about good books! I will be grateful.
 
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Thank you very much! That book looks really good. I will get it and start reading it, hoping to understand it. Now you have made me smile and feel good. Thank you again! :) I attach a sunrise picture with the moon, seen from a window in my home.
 

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Im currently reading mathematics for physicists by Philippe Dennery and André Krzywicki, and I’m understanding most concepts however I think it would be better for me to get a book on complex analysis or calculus to better understand it so I’m not left looking at an equation for an hour trying to figure out what it means. So here comes the split, do I get a complex analysis book? Or a calculus book? I might be able to Borrow a calculus textbook from my math teacher study that for a bit and...

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