
TL;DR
This paper proves the existence of smoothly embedded closed minimal surfaces in most infinite volume hyperbolic 3-manifolds, expanding understanding of their geometric structures.
Contribution
It establishes the existence of such minimal surfaces in a broad class of hyperbolic 3-manifolds, with specific exceptions.
Findings
Existence of smoothly embedded closed minimal surfaces in infinite volume hyperbolic 3-manifolds
Identification of special cases where such surfaces do not exist
Advancement in understanding the geometry of hyperbolic 3-manifolds
Abstract
In this paper, we show the existence of smoothly embedded closed minimal surfaces in infinite volume hyperbolic -manifolds except some special cases.
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