Differential geometry is a pivotal field of mathematics that examines the properties of curves, surfaces and more general manifolds by utilising methods from calculus and linear algebra. Its ...

The study of algebraic structures and differential geometry has evolved into a dynamic interdisciplinary field that synthesises abstract algebraic concepts with the smooth variability of geometric ...

Our research interests range from low-dimensional topology and geometric group theory, through algebraic geometry to symplectic geometry, gauge theory, differential geometry and geometric analysis.

Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists ...

This book is divided into fourteen chapters, with 18 appendices as introduction to prerequisite topological and algebraic knowledge, etc. The first seven chapters focus on local analysis. This part ...

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, ...

Abstract: Based on the conception of relative-degree of differential geometry theory on nonlinear system, nonlinear disturbance decoupling control on travelling crane electro-hydraulic servo system ...