## 2,552 Citations

### Geometry and Thermodynamics of Filament Bundles

- Mathematics, Physics
- 2015

GEOMETRY AND THERMODYNAMICS OF FILAMENT BUNDLES

### Reductive Group Schemes

- Mathematics
- 2014

— We develop the relative theory of reductive group schemes, using dynamic techniques and algebraic spaces to streamline the original de-

### Geometric approximation of curves and singularities of secant maps : a differential geometric approach

- Mathematics
- 2010

• local analysis: differential calculus. • global analysis: influence of local properties on the behavior of the entire curve.

### Geometric Methods in Representation Theory

- Mathematics
- 2004

These are notes from the mini-course given by W. Schmid in June 2003 in the Brussels PQR2003 Euroschool.

### On homogeneous Hermite-Lorentz spaces of low dimension

- Mathematics
- 2022

. We classify irreducible homogeneous almost Hermite-Lorentz spaces of complex dimension 3, and prove in particular they are geodesically complete.

### Algebraicity of the image of period map

- Mathematics
- 2016

We prove that the image of period map is algebraic, as conjectured by Griffiths.

### An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity

- Mathematics
- 2014

Differentiable Manifolds.- Differential Forms.- Riemannian Manifolds.- Curvature.- Geometric Mechanics.- Relativity.

## References

SHOWING 1-10 OF 72 REFERENCES

### Algebraic Topology

- Mathematics

The focus of this paper is a proof of the Nielsen-Schreier Theorem, stating that every subgroup of a free group is free, using tools from algebraic topology.

### Lectures on Riemann Surfaces

- Mathematics
- 1999

Contents: Covering Spaces.- Compact Riemann Surfaces.- Non-compact Riemann Surfaces.- Appendix.- References.- Symbol Index.- Author and Subject Index.

### Nonlinear Methods in Riemannian and Kählerian Geometry

- Mathematics
- 1988

1. Geometric preliminaries.- 2. Some principles of analysis.- 3. The heat flow on manifolds. Existence and uniqueness of harmonic maps into nonpositively curved image manifolds.- 4. The parabolic…

### Differential forms in algebraic topology

- MathematicsGraduate texts in mathematics
- 1982

This paper presents a meta-thesis on the basis of a model derived from the model developed in [Bouchut-Boyaval, M3AS (23) 2013] that states that the mode of action of the Higgs boson is determined by the modulus of the E-modulus.

### Geometry of Manifolds

- Mathematics
- 1964

Manifolds Lie groups Fibre bundles Differential forms Connexions Affine connexions Riemannian manifolds Geodesics and complete Riemannian manifolds Riemannian curvature Immersions and the second…

### Differential Geometry: Curves - Surfaces - Manifolds

- Mathematics
- 2002

* Notations and prerequisites from analysis* Curves in $\mathbb{R}^n$* The local theory of surfaces* The intrinsic geometry of surfaces* Riemannian manifolds* The curvature tensor* Spaces of constant…

### Mathematical Methods of Classical Mechanics

- Physics
- 1974

Part 1 Newtonian mechanics: experimental facts investigation of the equations of motion. Part 2 Lagrangian mechanics: variational principles Lagrangian mechanics on manifolds oscillations rigid…

### Multiple Integrals in the Calculus of Variations

- Mathematics
- 1966

Semi-classical results.- The spaces Hmp and Hmp0.- Existence theorems.- Differentiability of weak solutions.- Regularity theorems for the solutions of general elliptic systems and boundary value…

### Teichmüller Theory in Riemannian Geometry

- Mathematics
- 2004

0 Mathematical Preliminaries.- 1 The Manifolds of Teichmuller Theory.- 1.1 The Manifolds A and As.- 1.2 The Riemannian Manifolds M and Ms.- 1.3 The Diffeomorphism Ms /? s ? As.- 1.4 Some Differential…