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Generalized (κ,μ)-space forms [Article]
Generalized (κ, µ)-space forms are introduced and studied. We examine in depth the contact metric case and present examples for all possible dimensions. We also analyse the trans-Sasakian case.
Almost cosymplectic and almost Kenmotsu (κ, μ, ν)-spaces [Article]
We study the Riemann curvature tensor of (κ, µ, ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures, giving its writing explicitly. This leads to the definition and study of a natural generalisation of ...
B.-Y. Chen's inequality for submanifolds of generalized space forms [Article]
(Indian National Science Academy, 2007-06)
In this article, we investigate sharp inequalities involving δ-invariants for submanifolds in both generalized complex space forms and generalized Sasakian space forms, with arbitrary codimension.