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|Title:||A Liouville-Type Theorem for Strongly Subharmonic Functions on Complete Non-compact Riemannian Manifolds and Some Applications|
Size of Gauss image
Strongly subharmonic functions
|Citation:||Leung, P.-F. (1997). A Liouville-Type Theorem for Strongly Subharmonic Functions on Complete Non-compact Riemannian Manifolds and Some Applications. Geometriae Dedicata 66 (2) : 159-162. ScholarBank@NUS Repository.|
|Abstract:||We prove that if M is a complete non-compact Riemannian manifold and λ1(M) = 0, then any C2 solution of Δu ≥ k > 0 is unbounded. We apply this result to obtain an estimate for the size of the image set of some types of maps between Riemannian manifolds.|
|Source Title:||Geometriae Dedicata|
|Appears in Collections:||Staff Publications|
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