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Speculating About Mountains

Ribarska, N., Tsachev, Ts., Krastanov, M. (1996)

Serdica Mathematical Journal

∗Partially supported by Grant MM 409/94 of the Mininstry of Education, Science and Technology, Bulgaria. ∗∗Partially supported by Grants MM 521/95, MM 442/94 of the Mininstry of Education, Science and Technology, Bulgaria.The definition of the weak slope of continuous functions introduced by Degiovanni and Marzocchi (cf. [8]) and its interrelation with the notion “steepness” of locally Lipschitz functions are discussed. A deformation lemma and a mountain pass theorem for usco mappings are proved....

Stabilities of F-Yang-Mills fields on submanifolds

Gao-Yang Jia, Zhen Rong Zhou (2013)

Archivum Mathematicum

In this paper, we define an F -Yang-Mills functional, and hence F -Yang-Mills fields. The first and the second variational formulas are calculated, and the stabilities of F -Yang-Mills fields on some submanifolds of the Euclidean spaces and the spheres are investigated, and hence the theories of Yang-Mills fields are generalized in this paper.

Stable harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature

Jintang Li (2010)

Annales Polonici Mathematici

We study the stability of harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature, and we prove that if Mⁿ is a compact Einstein Riemannian minimal submanifold of a Riemannian unit sphere with Ricci curvature satisfying R i c M > n / 2 , then there is no non-degenerate stable harmonic map between M and any compact Finsler manifold.

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