For questions about the discipline that uses differential calculus and linear algebra to study geometrical problems.
Questions tagged [differential-geometry]
70 questions
7
votes
2 answers
The origin of the name "connection" in differential geometry
Everyone will encounter the notion of connection in differential geometry. But who gave this name of connection( or affine connection)? Why is this derivative operator called connection? What object does it connect? I'm just confused about the…
Golbez
- 173
- 4
5
votes
1 answer
Does Gauss own two “Theorema”?
When I read our differential geometry book, I saw two theorema: "Theorema Egregium" and "Theorema Elegantissimum". Mathematically, they are not the same. On wikipedia, there is nothing about Elegantissmum. What is the story behind it?
Upc
- 151
- 2
1
vote
0 answers
Gauss fundamental form in differential geometry : use of dot products
In textbooks on differential geometry, the first fundamental form looks like $E^2+2FG+H^2$, and its length is calculated through the help of the dot product. However, the inner product did not exist. The analytic formula was known that…
jan roelens
- 11
- 2
1
vote
0 answers
Origin of the Christoffel symbol
I am interested in the Christoffel symbol. So I found Christoffel's 1869 paper and The Road to Reality by Roger Penrose. These days, the Christoffel symbol has been established as a covariant derivative, but Christoffel did not know the concept of…
pokssin
- 309
- 7
0
votes
1 answer
What is Minkowski problem?
I have a question about 'Minkowski problem' related to Gaussian curvature.
I searched 'Minkowski problem' in Google, Almost all of them were related to Einstein's theory of relativity. So I ask about this here!
As far as I know, the Minkowski…
pokssin
- 309
- 7