Lecture notes of the course Analysis On Manifolds

This repo contains notes for (some) courses made during core years at IISERM. CAUTION: Contain some cool stuff too.

"What is differential geometry: curves and surfaces" by Anton Petrunin and Sergio Zamora Barrera

Extensive learning notes on mathematics

Solutions and clarifications for Tensor Calculus by J.L. Synge and A. Schild (Dover Publication)

Solutions to problems in Gauge Fields, Knots and Gravity

Open Source collection of solved exercises and tasks for the subject «Differential Geometry» («Geometría de Curvas y Superficies») written during my degree in Mathematics in the University of Murcia, Spain.

This is a collection of my personal notes about the proofs, exercises and problems of John Lee's trilogy on manifolds. Feel free to ask me if something unclear.

A mathematician's lament...

"About every convex set in any generic Riemannian manifold" by Alexander Lytchak and Anton Petrunin

"Moon in a puddle and the four-vertex theorem" by Anton Petrunin, Sergio Zamora Barrera (with artwork by Ana Cristina Chávez Cáliz)

CM uniquement.

Notes for Differential Geometry of Manifolds

"Self-crossing geodesics" by A. Petrunin