On the singular transformations of groups generated by infinitesimal transformations

On the Singular Transformations of Groups Generated by Infinites- Imal Transformations

As the a's approach certain limiting values, one or more of which is infinite, Ta may have a definite finite transformation T as a limit. The transformation T may be regarded as a transformation of the family, and, if equivalent to a transformation Tb with finite parameters, can be generated by an infinitesimal transformation of the family (namely, bxXx + •" + brXr), but not otherwise.* Let it ...

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles

On Infinitesimal Conformal Transformations of the Tangent Bundles with the Generalized Metric

Let  be an n-dimensional Riemannian manifold, and  be its tangent bundle with the lift metric. Then every infinitesimal fiber-preserving conformal transformation  induces an infinitesimal homothetic transformation on .  Furthermore,  the correspondence   gives a homomorphism of the Lie algebra of infinitesimal fiber-preserving conformal transformations on  onto the Lie algebra of infinitesimal ...

a characterization of the infinitesimal conformal transformations on tangent bundles

Hyperspectral Image Classification Based on the Fusion of the Features Generated by Sparse Representation Methods, Linear and Non-linear Transformations

The ability of recording the high resolution spectral signature of earth surface would be the most important feature of hyperspectral sensors. On the other hand, classification of hyperspectral imagery is known as one of the methods to extracting information from these remote sensing data sources. Despite the high potential of hyperspectral images in the information content point of view, there...