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On the Calculus of Limiting Subjets on Riemannian Manifolds

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Abstract

In this paper fuzzy calculus rules for subjets of order two on finite dimensional Riemannian manifolds are obtained. Then a second order singular subjet derived from a sequence of efficient subsets of symmetric matrices is introduced. Employing fuzzy calculus rules for subjets of order two and various qualification assumptions based on a second order singular subjet, calculus rules for limiting subjets on a finite dimensional Riemannian manifold are obtianed.

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Correspondence to Mohamad R. Pouryayevali.

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The third author was partially supported by the Center of Excellence for Mathematics, University of Shahrekord, Iran.

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Alavi Hejazi, M., Hosseini, S. & Pouryayevali, M.R. On the Calculus of Limiting Subjets on Riemannian Manifolds. Mediterr. J. Math. 10, 593–607 (2013). https://doi.org/10.1007/s00009-011-0171-3

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  • DOI: https://doi.org/10.1007/s00009-011-0171-3

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