The Net Advance of Physics

The Net Advance of Physics:
DIFFERENTIAL GEOMETRY

See also: General Relativity.

General: TEXTBOOKS: Csikós no date;

Analytical Methods in Physics by Yi-Zen Chu [2015] Textbook, 232 pp.
Treatise on Differential Geometry and Its Role in Relativity Theory by Subenoy Chakraborty [2019/08] 231 pp.
What is differential geometry? Curves and surfaces by A. Petrunin and S. Z. Barrera [2020/12] 205 pp

General: INTRODUCTORY:

South Pointing Chariot: An Invitation to Differential Geometry by Stephen Sawin [2015/02]

General:

A pictorial introduction to differential geometry by Jonathan Gratus [2017/09]
Fun Problems in [differential] Geometry and Beyond by B. Khesin and S. Tabachnikov [2019/12]
Weyl geometry and cosmological particle creation by V. A. Berezin and V. I. Dokuchaev [2022/08] Includes very succinct overview of differential geometry.

General: LINKS PAGES: Rusin;

Type: METRIC: FINITE: Linial 2003/04;

Type: PROJECTIVE: Landsberg 98/09;

On Hilbert's Fourth Problem by Athanase Papadopoulos [2013/12]

Type: PSEUDODIFFERENTIAL:

Geometry and physics of pseudodifferential operators on manifolds by Giampiero Esposito and George M. Napolitano [Nuovo Cimento C 38, 159 (2015)]

Type: SUB-RIEMANNIAN: Buliga 2002/10;

Type: WEYL:

Weyl geometry in late 20th century physics by Erhard Scholz [2008/09]
Weyl geometry and cosmological particle creation by V. A. Berezin and V. I. Dokuchaev [2022/08]

Aspects: COHOMOLOGIES; DIFFERENTIAL FORMS; FOLIATIONS; HODGE THEORY; JET MANIFOLDS; MINIMAL SURFACES;

Aspects: CONNECTION:

Ehreshmann theory of connection in a principal bundle: compendium for physicists by Marta Dudek and Janusz Garecki [2018/07]

Aspects: EULER CHARACTERISTIC:

Lectures on the Euler Characteristic of Affine Manifolds by Camilo Arias Abad and Sebastián Vélez Vásquez [2018/02]

Aspects: FIBRE BUNDLES:

Gauge Theories and Fibre Bundles: Applications to Particle Dynamics by A. P. Balachandran et al. [2017/02]

Aspects: FREDHOLM THEORY:

Polyfold and Fredholm Theory by Helmut Hofer et al. [2017/07] 700+ pp.

Aspects: HIGGS BUNDLES:

A Brief Survey of Higgs Bundles by Ronald Alberto Zúñiga-Rojas [2018/03]
Higgs Bundles: Recent Applications by Laura P. Schaposnik [2019/09]
Aspects: ISOMETRIC IMMERSIONS:
- Isometric immersions and applications by Q. Han and M. Lewicka [2023/10]
Aspects: MANIFOLDS: COLLAPSED: Rong 2003/04;
Aspects: ORBIFOLDS:
- Introduction to Orbifolds by Francisco C. Caramello Jr. [2019/09]
Aspects: POLYFOLDS:
- Polyfold and Fredholm Theory by Helmut Hofer et al. [2017/07] 700+ pp.
- Polyfold and SFT Notes I: A Primer on Polyfolds and Construction Tools by Joel W. Fish and Helmut Hofer [2018/06]
Aspects: REGGE CALCULUS:
- Introduction to Regge Calculus for Gravitation by R. R. Cuzinatto et al. [2019/04]
Aspects: REIFENBERG THEORY:
- Lecture Notes on Rectifiable Reifenberg for Measures by Aaron Naber [2018/12]
Aspects: RICCI FLOWS:
- Recent developments in Ricci flows by R. H. Bamler [2021/02]
Aspects: SURFACES: CONSTANT CURVATURE: Mazzeo 2002/09;
Aspects: TENSORS:
- The first acquaintance with the tensor by Victor Alexandrov [2013/11] In Russian.
- Introduction to Tensor Calculus by Taha Sochi [2016/03]
- Tensor Calculus (part two) by Taha Sochi [2016/10]
- Eigenvectors of Tensors: A Primer by Sebastian Walcher [2018/10]
- A short course on tensor algebra and analysis, with applications to differential geometry [and continuum mechanics] by P. Vannucci [2021/11] 122 pp.
Aspects: TENSORS:: TENSOR NETWORKS:
- Tensor Networks in a Nutshell by Jacob Biamonte and Ville Bergholm [2017/08]
- Review of Tensor Network Contraction Approaches by Shi-Ju Ran et al. [2017/08]
- The Tensor Networks Anthology: Simulation Techniques for Many-Body Quantum Lattice Systems by Pietro Silvi et al. [2017/10] 115 pp.
Aspects: VECTOR SPACES: TOPOLOGICAL: Semmes 2003/04;
- O Teorema de Poincare-Hopf by Jean-Paul Brasselet and Nguyen Thi Bich Thuy [2017/10]
Re: FIELD THEORY:
- Quantum Field Theory and Differential Geometry by W. F. Chen [2008/03]
Re: HYDRODYNAMICS:
- Geometric Hydrodynamics: From Euler to Poincaré to Arnold by Klas Modin [2018/12]
Re: INFORMATION THEORY:
- An elementary introduction to information geometry by Frank Nielsen [2018/08]
Re: MECHANICS:
- A Primer on Geometric Mechanics by Christian Lessig [2012/06]
Re: QUATERNIONS:
- Notes sur les variétés différentiables, structures complexes et quaternioniques et applications by Michel Dubois-Violette [2010/03]
Re: SOFT MATERIALS: Kamien 02/03;
THE NET ADVANCE OF PHYSICS

The Net Advance of Physics: DIFFERENTIAL GEOMETRY

THE NET ADVANCE OF PHYSICS

The Net Advance of Physics:
DIFFERENTIAL GEOMETRY