Books about Kähler manifolds, Ricci flatness and other things

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SUMMARY

The discussion centers on the search for comprehensive literature on Kähler manifolds, Ricci flatness, and related mathematical concepts. The user, a retired individual with a background in electronics and theoretical physics, seeks recommendations for books that provide a thorough understanding of these topics. The book "Nakahara" is highlighted as a suitable starting point for this exploration. The user expresses gratitude for the suggestions and shares a personal touch by attaching a photo.

PREREQUISITES
  • Understanding of Kähler manifolds
  • Familiarity with Ricci flatness
  • Knowledge of Chern classes
  • Basic concepts of string theory
NEXT STEPS
  • Research advanced texts on Kähler geometry
  • Explore resources on Ricci flow and its applications
  • Study canonical bundles in the context of algebraic geometry
  • Investigate metrics with global holonomy in differential geometry
USEFUL FOR

This discussion is beneficial for theoretical physicists, mathematicians, and anyone interested in advanced geometry and its applications in string theory and related fields.

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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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