In the present work, we define new type slant helices called (k,m)-type and we conclude that there are no (1,k) type (1 ≤ k ≤ 4) slant helices. Also we obtain conditions for different type slant helices.

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In this study we define the notion of (k,m)-type slant helices in Minkowski 4-space and express some characterizations for partially and pseudo null curves in {\rm{\mathbb E}}_1^4 .

In this paper, we studied the Mannheim partner curves and their new characterizations are also obtained in Riemann-Otsuki space R − O 3 .

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