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math.DG2010
Ricci solitons in manifolds with quasi-constant curvature
Cornelia Livia Bejan, Mircea Crasmareanu
The Eisenhart problem of finding parallel tensors treated already in the framework of quasi-constant curvature manifolds in \cite{x:j} is reconsidered for the symmetric case and th…
math.DG2010
A new Tzitzeica hypersurface
M. Crasmareanu
A new hypersurface of Tzitzeica type is obtained in all three forms: parametric, implicit and explicit. Its two-dimensional version, although well-known from a theoretical point of…
math.DG2010
Semi-invariant -submanifolds of generalized quasi-Sasakian manifolds
Constantin Călin, Mircea Crâşmareanu, Marian Ioan Munteanu +1
A structure on an almost contact metric manifold is defined as a generalization of well-known cases: Sasakian, quasi-Sasakian, Kenmotsu and cosymplectic. Then we consider a semi-in…