This is the second part of the work on Geometry of curves in the Lagrange Grassmannians. Part I is published in Journal of Dynamical and Control Systems, Vol. 8, No. 1, 2002, pp. 93-104. Here we study an important class of flat curves and give the estimates for the conjugate points. The estimates are presented in the form of comparison theorems. We use terminology and notation introduced in Part I. In order to make references to Part I we write I before the number of the corresponding formula, section, theorem, proposition, or lemma from Part I
We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves;...
We shall discuss the idea of finding all rational points on a curve C by first finding an associated...
International audienceWe prove sectional and Ricci-type comparison theorems for the existence of con...
This is the second part of the work on Geometry of curves in the Lagrange Grassmannians. Part I is p...
Jacobi curves are deep generalizations of the spaces of "Jacobi fields" along Riemannian geodesics. ...
AbstractCurves in Lagrange Grassmannians appear naturally in the intrinsic study of geometric struct...
This thesis is prepared in four sections. In the first section, Rudiments about the thesis are given...
We present a treatment of the algebraic description of the Jacobian of a generic genus two plane cur...
This chapter introduces the main characters of this book — curves and their Jacobians. To this aim w...
In this thesis we study how the information about the Hessian of optimal control problems can be enc...
We investigate the phenomenon of multiple conjugate points along a geodesic. In the first instance,...
The thesis is devoted to Differential Geometry of parametrized curves in Lagrange Grassmannians and...
We suggest that the following plan will provide a powerful tool for trying to find the set of Q-rati...
In this thesis, we look at problems in Number Theory, specifically Diophantine Equations. We investi...
An algebraic curve is a curve defined over by polynomial equations with coefficients in a given fiel...
We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves;...
We shall discuss the idea of finding all rational points on a curve C by first finding an associated...
International audienceWe prove sectional and Ricci-type comparison theorems for the existence of con...
This is the second part of the work on Geometry of curves in the Lagrange Grassmannians. Part I is p...
Jacobi curves are deep generalizations of the spaces of "Jacobi fields" along Riemannian geodesics. ...
AbstractCurves in Lagrange Grassmannians appear naturally in the intrinsic study of geometric struct...
This thesis is prepared in four sections. In the first section, Rudiments about the thesis are given...
We present a treatment of the algebraic description of the Jacobian of a generic genus two plane cur...
This chapter introduces the main characters of this book — curves and their Jacobians. To this aim w...
In this thesis we study how the information about the Hessian of optimal control problems can be enc...
We investigate the phenomenon of multiple conjugate points along a geodesic. In the first instance,...
The thesis is devoted to Differential Geometry of parametrized curves in Lagrange Grassmannians and...
We suggest that the following plan will provide a powerful tool for trying to find the set of Q-rati...
In this thesis, we look at problems in Number Theory, specifically Diophantine Equations. We investi...
An algebraic curve is a curve defined over by polynomial equations with coefficients in a given fiel...
We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves;...
We shall discuss the idea of finding all rational points on a curve C by first finding an associated...
International audienceWe prove sectional and Ricci-type comparison theorems for the existence of con...