**The Theory of Lie Derivatives and Its Applications**

by Kentaro Yano

**Publisher**: North Holland Publishing Co. 1955**Number of pages**: 321

**Description**:

This is an advanced treatment of topics in differential geometry. The topics include: Spaces with a non-vanishing curvature tensor that admit a group of automorphisms of the maximum order; Groups of transformations in generalized spaces; The study of global properties of the groups of motions in a compact orientable Riemannian space; Lie derivatives in an almost complex space.

Download or read it online for free here:

**Download link**

(multiple formats)

## Similar books

**Notes on the Atiyah-Singer Index Theorem**

by

**Liviu I. Nicolaescu**-

**University of Notre Dame**

This is arguably one of the deepest and most beautiful results in modern geometry, and it is surely a must know for any geometer / topologist. It has to do with elliptic partial differential operators on a compact manifold.

(

**11255**views)

**Orthonormal Basis in Minkowski Space**

by

**Aleks Kleyn, Alexandre Laugier**-

**arXiv**

In this paper, we considered the definition of orthonormal basis in Minkowski space, the structure of metric tensor relative to orthonormal basis, procedure of orthogonalization. Contents: Preface; Minkowski Space; Examples of Minkowski Space.

(

**10628**views)

**Natural Operations in Differential Geometry**

by

**Ivan Kolar, Peter W. Michor, Jan Slovak**-

**Springer**

A comprehensive textbook on all basic structures from the theory of jets. It begins with an introduction to differential geometry. After reduction each problem to a finite order setting, the remaining discussion is based on properties of jet spaces.

(

**16830**views)

**An Introduction to Gaussian Geometry**

by

**Sigmundur Gudmundsson**-

**Lund University**

These notes introduce the beautiful theory of Gaussian geometry i.e. the theory of curves and surfaces in three dimensional Euclidean space. The text is written for students with a good understanding of linear algebra and real analysis.

(

**11860**views)