Infinitesimal Transformations of Riemannian Manifolds—The Geometric Dynamics Point of View

Super- and sub-additive transformations of aggregation functions from the point of view of approximation

The way super- and sub-additive transformations of aggregation functions are introduced involve suprema and infima taken over simplexes whose dimensions may grow arbitrarily. Exact values of such transformations may thus be hard to determine in general. In this note we discuss methods of algorithmic approximation of such transformations.

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles

A Geometric View of Rational Landen Transformations

In this paper, a geometric interpretation is provided of a new rational Landen transformation. The convergence of its iterates is also established.

A Geometric View of the Rational Landen Transformations

We provide a geometric interpretation of a new rational Landen transformation and establish the convergence of its iterates.

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 ...