On Two Parameter Envelopes of n-Spheres in a Real Spaces Form

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In this work we are mainly concerned with the study of special 2-parameter envelopes Mn (n ≥ 4) of n-spheres in a simply connected space form Qcn+1 (c = 0, 1 or −1) which satisfy the Weingarten relation A + BH + CK = 0 between the mean curvature H and the Gauss–Kronecker curvature K of the immersion x: Mn → Qcn+1, where A, B and C are real constants; such a relation includes the case H constant.

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