Contributions to the study of monotone vector fields
JX da Cruz Neto, OP Ferreira… - Acta Mathematica …, 2002 - Springer
Acta Mathematica Hungarica, 2002•Springer
We introduce the concept of a strongly monotone vector field on a Riemannian manifold and
give an example. We also demonstrate relationships between different kinds of monotonicity
of vector fields and different kinds of definiteness of its differential operator. Some
topological and metric consequences of the strict and strongly monotone vector fields"
existence are shown.
give an example. We also demonstrate relationships between different kinds of monotonicity
of vector fields and different kinds of definiteness of its differential operator. Some
topological and metric consequences of the strict and strongly monotone vector fields"
existence are shown.
Abstract
We introduce the concept of a strongly monotone vector field on a Riemannian manifold and give an example. We also demonstrate relationships between different kinds of monotonicity of vector fields and different kinds of definiteness of its differential operator. Some topological and metric consequences of the strict and strongly monotone vector fields" existence are shown.
Springer
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