3 papers
math.DG2012
The Taylor Expansion of the Exponential Map and Geometric Applications
M. G. Monera, A. Montesinos-Amilibia, E. Sanabria-Codesal
In this work we consider the Taylor expansion of the exponential map of a submanifold immersed in R^n up to order three, in order to introduce the concepts of lateral and frontal d…
math.DG2005
Transformations between surfaces in R^4 with flat normal and/or tangent bundles
Angel Montesinos-Amilibia
We exhibit several transformations of surfaces in R^4. First, one that takes a flat surface and gets a surface with flat normal bundle; then, one that takes a surface with flat nor…
math.DG1999
The self-linking number of a closed curve in R^n
A. Montesinos-Amilibia, J. J. Nuno-Ballesteros
We introduce the self-linking number of a smooth closed curve in R^n with respect to a 3-dimensional vector bundle over the curve, provided that some regularity conditions are sati…