# Differential Geometry

This webpage is dedicated to curating papers on Differential Geometry. I will only add the papers that are relevant to me.

**Read the most recent papers on this topic in arXiv.**

I recommend these two books who are physicists and want to learn modern differential geometry and its use in Physics.

▛ 2012 - Frankel - The geometry of physics

▟ 2003 - Nakahara - Geometry, Topology and Physics

## Discrete Exterior Calculus

**Contributors**

Anil N. Hirani, Keenan Crane, Mathieu Desbrun

### Reviews and Lectures

- 2005 - Discrete Exterior Calculus Review
- 2022 - Discrete Differential Geometry: An Applied Introduction Lecture Note
- 2009 - Notes on Discrete Exterior Calculus Review

### Papers

- 2014 - Discrete 2-Tensor Fields on Triangulations
- 2012 - Laplacians on discrete and quantum geometries
- 2012 - Geodesics in Heat
- 2010 - On Discrete Killing Vector Fields and Patterns on Surfaces

### Theses

- 2019 M.Sc. - Jonni Lohi - Discrete exterior calculus and higher order Whitney forms
- 2003 Ph.D. - Anil N. Hirani - Discrete Exterior Calculus

## Fiber Bundles

### Papers

- 2016 - Gauge Theories and Fiber Bundles: Definitions, Pictures, and Results $\mid$ Review
- 2014 - Riemannian Geometry: Definitions, Pictures, and Results $\mid$ Review
- 1980 - Fibre bundles, gauge fields, and gravitation $\mid$ Review
- 1970 - Fibre bundles associated with space-time $\mid$ Review with good explanation of the concept of fiber bundles

Permalink athttps://www.physicslog.com/math-notes/dg-papers

Published onApr 28, 2023

Last revised onMay 1, 2023

References