Exponentially harmonic maps between Finsler manifolds
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DOI: 10.1007/s00229-017-0981-0
Abstract: Exponentially harmonic maps and harmonic maps are different. In this paper, we derive the first and second variations of the exponential energy of a smooth map between Finsler manifolds. We show that a non-constant exponentially… read more here.
Keywords: exponentially harmonic; finsler manifolds; harmonic maps; maps finsler ... See more keywords
Boundary extension of mappings with integrally bounded moduli on Finsler manifolds
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DOI: 10.1007/s11785-018-0851-0
Abstract: We study the boundary behavior of homeomorphic mappings with integrally controlled moduli on Finsler manifolds. The conditions for continuous/homeomorphic extensions of these mappings and their inverses to the corresponding closures are established. read more here.
Keywords: mappings integrally; boundary extension; finsler manifolds; moduli finsler ... See more keywords
Smooth semi-Lipschitz functions and almost isometries between Finsler manifolds
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DOI: 10.1016/j.jfa.2020.108662
Abstract: Abstract The convex cone S C SLip 1 ( X ) of real-valued smooth semi-Lipschitz functions on a Finsler manifold X is an order-algebraic structure that captures both the differentiable and the quasi-metric feature of… read more here.
Keywords: smooth semi; almost isometries; finsler manifolds; lipschitz functions ... See more keywords
Comparison theorems on Riemannian–Finsler manifolds with curvature quadratic decay and their applications
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DOI: 10.1142/s0129167x21500488
Abstract: We establish some comparison theorems on Finsler manifolds with curvature quadratic decay. As their applications, we obtain some optimal Cheeger–Gromov–Taylor type compact theorems, volume growth and Mckean type estimate for the first Dirichlet eigenvalue for… read more here.
Keywords: manifolds curvature; quadratic decay; decay applications; curvature quadratic ... See more keywords
Upper bounds on the diameter for Finsler manifolds with weighted Ricci curvature
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DOI: 10.18514/mmn.2018.2492
Abstract: In this paper we obtain some Cheeger-Gromov-Taylor type compactness theorems for a forward complete and connected Finsler manifold of dimensional n 2 via weighted Ricci curvatures. The proofs are based on the index form of… read more here.
Keywords: diameter finsler; bounds diameter; finsler manifolds; upper bounds ... See more keywords