Some Liouville-type theorems for harmonic functions on Finsler manifolds

Some Rigidity Theorems for Finsler Manifolds

This is a survey article on global rigidity theorems for complete Finsler manifolds without boundary.

Stable Exponentially Harmonic Maps Between Finsler Manifolds

Some Remarks on Liouville Type Theorems

The goal of this note is to present elementary proofs of statements related to the Liouville theorem.

Some Rigidity Theorems for Finsler Manifolds of Sectional Flag Curvature

In this paper we study some rigidity properties for Finsler manifolds of sectional flag curvature. We prove that any Landsberg manifold of non-zero sectional flag curvature and any closed Finsler manifold of negative sectional flag curvature must be Riemannian.

Liouville-Type Theorems for Some Integral Systems

/2 ( ) ( ) u u        where  is the Fourier transformation and  its inverse. The question is to determine for which values of the exponents pi and qi the only nonnegative solution (u, v) of (1) and (2) is trivial, i.e., (u; v) = (0, 0). When 2   , is the case of the Emden-Fowler equation 0 , 0     u u u k in N  (5) When ) 3 )( 2 /( ) 2 ( 1      N N N k , it has been prove...