Complex analysis differential geometry

Did Einstein know differential geometry?
Most prominently the language of differential geometry was used by Albert Einstein in his theory of general relativity, and subsequently by physicists in the development of quantum field theory and the standard model of particle physics..
Do you need analysis for differential geometry?
If you just want to learn the theory of curves and surfaces in R^3 you probably don't need much more than multivariable calculus.
If you'd like to go beyond this theory and study manifolds and Riemannian geometry you probably need some analysis and topology..
Do you need analysis for differential geometry?
In complex analysis and algebraic geometry one studies complex analytic and algebraic varieties, maps between such spaces (the simplest case being holomorphic and algebraic functions) and analytic and algebraic objects defined on those spaces, as subvarieties, vector bundles and sheaves..
How to learn complex geometry?
Differential geometry is also related to the geometric aspects of the theory of differential equations, otherwise known as geometric analysis..
Is differential geometry part of analysis?
If you just want to learn the theory of curves and surfaces in R^3 you probably don't need much more than multivariable calculus.
If you'd like to go beyond this theory and study manifolds and Riemannian geometry you probably need some analysis and topology..
What are the applications of complex geometry?
Complex geometry has significant applications to theoretical physics, where it is essential in understanding conformal field theory, string theory, and mirror symmetry..
Differential geometry is also related to the geometric aspects of the theory of differential equations, otherwise known as geometric analysis.
Outside of physics, differential geometry finds applications in chemistry, economics, engineering, control theory, computer graphics and computer vision, and recently in machine learning.
Understanding this curvature is essential for the positioning of satellites into orbit around the Earth.
Differential geometry is also indispensable in the study of gravitational lensing and black holes.
Differential forms are used in the study of electromagnetism.

Sep 13, 2021I know about Differential Geometry basics; it deals with Manifolds and other topological spaces and studies them deeply.An invitation to differential geometry? - Mathematics Stack ExchangeComplex differential geometry, complex algebraic geometry, and from differential geometry to complex analysiscomplex differential geometry - Mathematics Stack ExchangeMore results from math.stackexchange.com

Sep 13, 2021I know about Differential Geometry basics; it deals with Manifolds and other topological spaces and studies them deeply.An invitation to differential geometry? - Mathematics Stack Exchangefrom differential geometry to complex analysisComplex differential geometry, complex algebraic geometry, and Where can I learn about complex differential forms?More results from math.stackexchange.com

Sep 13, 2021Yes, differential forms and Stokes's Theorem certainly appear in complex analysis. The OP might be interested in looking at Steve Krantz's An invitation to differential geometry? - Mathematics Stack ExchangeComplex differential geometry, complex algebraic geometry, and from differential geometry to complex analysisWhere can I learn about complex differential forms?More results from math.stackexchange.com

This volume is dedicated to the memory of Harry Ernest Rauch, who died suddenly on June 18, 1979. In organizing the volume we solicited: (i) articles summarizing Rauch's own work in differential geometry, Google BooksOriginally published: 1985

Differential form on a manifold which is permitted to have complex coefficients

In mathematics, a complex differential form is a differential form on a manifold which is permitted to have complex coefficients.

Complex analysis differential geometry

Did Einstein know differential geometry?

Do you need analysis for differential geometry?

Do you need analysis for differential geometry?

How to learn complex geometry?

Is differential geometry part of analysis?

What are the applications of complex geometry?