In addition to having a closed degenerate 2-form, symplectic manifolds have this property.
In addition to having a closed degenerate 2-form, symplectic manifolds have this property. Lie groupscan also be understood as these types of manifolds. If a complex function has this property, its closed lineintegral will be zero. Meromorphic functions have this property at all but a set of isolated poles on thecomplex plane, and entire functions have this property for all values of the complex plane. The Weierstrassfunction does not have this property at any point, despite being continuous everywhere. The mean valuetheorem holds for functions with it on open intervals. This property does not hold for functions withsingularities or cusps. For 10 points, name this property of functions whose tangent lines are not vertical.
In addition to having a closed degenerate 2-form, symplectic manifolds have this property.
differentiable [or obvious equivalents like "functions for which the derivative exists"]