Genus, Morse Index, and Area of Minimal Surfaces in Three-Manifolds 5FZGDECW2R

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
1K2KYQKMZ6	statement	lemma 4.3	arxiv
Localized comparison with a shifted scalar index	statement	proposition 4.2	arxiv
The Jacobi potential and ambient curvature	statement	lemma 3.3	arxiv
Projective balancing	statement	lemma 2.2	arxiv
Holomorphic maps of controlled degree	statement	lemma 2.1	arxiv
A shifted scalar Jacobi operator	statement	corollary 3.4	arxiv
An explicit estimate for two-sided immersions	statement	theorem 1.2	arxiv
The spectral estimate from a holomorphic map	statement	proposition 2.5	arxiv
Local orientability and two-sidedness	statement	lemma 4.1	arxiv
Projection coordinates and energy	statement	lemma 2.3	arxiv
Nonnegative and positive ambient Ricci curvature	statement	corollary 3.5	arxiv
Genus control for a curvature potential	statement	proposition 3.1	arxiv
Index control for balanced projection coordinates	statement	proposition 2.4	arxiv
A scalar spectral inequality	statement	theorem 1.3	arxiv
Topology, index, and area	statement	theorem 1.1	arxiv