The Bartnik mass of (S², g, H) is bounded above by √(|S²|_g / 16π) under the condition that the first eigenvalue of (-Δ_g + K_g) is non-negative.
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Bartnik Mass of CMC surfaces under a Spectral non-negativity condition
The Bartnik mass of (S², g, H) is bounded above by √(|S²|_g / 16π) under the condition that the first eigenvalue of (-Δ_g + K_g) is non-negative.