Regularity of generalized lower-C2 functions in Hadamard manifolds

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Document Type : Original Article

Author

Department of Mathematics, Faculty of Science, Lorestan University, Khorramabad, Iran

Abstract

In this paper we introduce and study the classes of lower-C2 and upper-C2 functions on Hadamard manifolds. As applications, we investigate their regularity properties and analyze stationary points of associated minimization problems. Our results show that the class of lower-C2 functions is regular in this setting, while the class of upper-C2 functions is not.

Keywords

References

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Journal of Finsler Geometry and its Applications

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Available Online from 08 May 2026

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