754 citations
- Istituto Nazionale di Fisica Nucleare, Sezione di TorinoIT23 papers
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math.DG2008★ 2 cited
A Berger type normal holonomy theorem for complex submanifolds
Sergio Console, Antonio J. Di Scala, Carlos Olmos
We prove a Berger type theorem for the normal holonomy group (i.e., the holonomy group of the normal connection) of a full complete complex submanifold of the complex projective sp…
math.DG2008
Riemannian geometry of Hartogs domains
Antonio J. Di Scala, Andrea Loi, Fabio Zuddas
Let $D_F = \{(z_0, z) \in {\C}^{n} | |z_0|^2 < b, \|z\|^2 < F(|z_0|^2) \}$ be a strongly pseudoconvex Hartogs domain endowed with the \K metric associated to the \K form $ω_F…
math.DG2002
Spectral Flow, Maslov Index and Bifurcation of semi-Riemannian Geodesics
Paolo Piccione, Alessandro Portaluri, Daniel V. Tausk
We give a functional analytical proof of the equality between the Maslov index of a semi-Riemannian geodesic and the spectral flow of the path of self-adjoint Fredholm operators ob…