A note on gradient-like vector fields

TL;DR

This paper introduces a new concept of gradient-like vector fields and explores its implications for the mathematical theories of Stein and Weinstein structures.

Contribution

It proposes a novel notion of gradient-like vector fields and analyzes their impact on Stein and Weinstein structures.

Findings

Introduces a new definition of gradient-like vector fields

Analyzes implications for Stein structures

Examines effects on Weinstein structures

Abstract

This note proposes a new notion of a gradient-like vector field and discusses its implications for the theory of Stein and Weinstein structures.