7 citations · 14 across the 8 of their papers we have counts for
8 papers
Isoparametric hypersurfaces in product spaces
João Batista Marques dos Santos, João Paulo dos Santos
In this paper, we characterize and classify the isoparametric hypersurfaces with constant principal curvatures in the product spaces $ \mathbb{Q}^{2}_{c_{1}} \times \mathbb{Q}^{2}_…
The codual quotient vector bundle
João Paulo Santos
Given a quotient vector bundle over with kernel map we study the codual bundle with fiber at each point isomorphic to the dual of…
Linear structures on locales
Pedro Resende, João Paulo Santos
We define a notion of morphism for quotient vector bundles that yields both a category and a contravariant global sections functor $C:\textit{QVBun}^{\textrm{op}}\…
Open quotients of trivial vector bundles
Pedro Resende, João Paulo Santos
Given an arbitrary topological complex vector space , a quotient vector bundle for is a quotient of a trivial vector bundle by a fiberwise linear contin…
Rank-stable limit of completed moduli spaces of instantons
João Paulo Santos
Nakajima introduced a resolution of singularities of the Donaldson-Uhlenbeck completion of the moduli space of based instantons over . For , we extend this result to…
Dirac operator coupled to instantons on positive definite 4 manifolds
Joao P Santos
We study the moduli space of instantons on a simply connected positive definite four manifold by analyzing the classifying map of the index bundle of a family of Dirac operators pa…