TL;DR
This paper investigates the geometric properties of fiber linear convex domains with smooth boundaries, establishing that their boundaries are cohomological spheres, thus contributing to the understanding of their topological structure.
Contribution
It proves that the boundary of fiber linear convex bounded domains with smooth boundary is a cohomological sphere, revealing a topological characterization.
Findings
Boundaries are cohomological spheres
Fiber linear convex domains have smooth boundary
Topological structure clarified
Abstract
The boundary of fiber linear convex bounded domain with smooth boundary is a cohomological sphere.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Point processes and geometric inequalities