Tensor Fields on C1 Fuzzy Compact Manifolds

This paper presents the definition of tensor fields of type (r, s) on C-1 fuzzy compact manifolds, and in view of the fact that the definition is abstract concept, therefore presents the theorem which concretely shows the local expressions of tensor fields of type (r, s). The key of the proof of the theorem lies in the fuzzy localization, and the fuzzification of tensor fields of ordinary manifolds. This paper provides the new structure of tensor fields to C-1 fuzzy compact manifolds.