2 citations · 4 across the 9 of their papers we have counts for
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Extended Kato inequalities for conformal operators
Daniel Cibotaru, Matheus Vieira
We prove, for a class of first order differential operators containing the generalized gradients, Dirac and Penrose twistor operators, a family of Kato inequalities that interpolat…
Non-tame Morse-Smale flows and odd Chern-Weil theory
Daniel Cibotaru, Wanderley Pereira
Using a certain well-posed ODE problem introduced by Shilnikov in the sixties, G. Minervini proved in his PhD thesis [17], among other things, the Harvey-Lawson Diagonal Theorem bu…
Double transgressions and Bott-Chern duality
Daniel Cibotaru, Vincent Grandjean, Blaine Lawson
We present a general framework for obtaining currential double transgression formulas on complex manifolds which can be seen as manifestations of Bott-Chern Duality. These results…
Odd Pfaffian forms
Daniel Cibotaru, Sergiu Moroianu
On any odd-dimensional oriented Riemannian manifold we define a volume form, which we call the odd Pfaffian, through a certain invariant polynomial with integral coefficients in th…
A short proof of a Theorem by Hopf
Daniel Cibotaru
A proof based on the Chern-Gauss-Bonnet Theorem is given to Hopf Theorem concerning the degree of the Gauss map of a hypersurface in .
Chern-Gauss-Bonnet and Lefschetz Duality from a currential point of view
Daniel Cibotaru
We use the mapping cone for the relative deRham cohomology of a manifold with boundary in order to show that the Chern-Gauss-Bonnet Theorem for oriented Riemannian vector bundles o…