I spent a whole month considering the nuanced terminology in Differential Geometry. For example, are the terms "fundamental" and "form" used appropriately? "Fundamental" clearly applies to the First Fundamental Form (which describes the intrinsic geometry of a surface) and the Second Fundamental Form (which describes the extrinsic geometry), as these are truly foundational to the geometry of surfaces. However, it is less fitting for the Third Fundamental Form, which serves more as a complement to the first two. The term "form" is consistently used throughout, reflecting their bilinear nature. I struggle to get consistency in Differential Geometry books in languages other than English. 😉
I hope you are doing well at the beginning of 2025. I spent the end of 2024 moving and reorganizing my new house, which was quite a big task but also rewarding.
Amazing !!
Dam this is too good for this number of views
Oh yeah RUclips recommendation algorithm, we're getting to the real spicy stuff now.
Lets go, now we talkin
This rocks, I will listen to this every time doing analysis now
I spent a whole month considering the nuanced terminology in Differential Geometry. For example, are the terms "fundamental" and "form" used appropriately? "Fundamental" clearly applies to the First Fundamental Form (which describes the intrinsic geometry of a surface) and the Second Fundamental Form (which describes the extrinsic geometry), as these are truly foundational to the geometry of surfaces. However, it is less fitting for the Third Fundamental Form, which serves more as a complement to the first two. The term "form" is consistently used throughout, reflecting their bilinear nature. I struggle to get consistency in Differential Geometry books in languages other than English. 😉
I hope you are doing well at the beginning of 2025. I spent the end of 2024 moving and reorganizing my new house, which was quite a big task but also rewarding.