Search
Search Results
-
Linear Systems of Hypersurfaces with Singularities and Beyond
These notes include the materials of four lectures given at CIRM, Trento, Italy, in the occasion of the summer school “TiME 2019: Curves and...
-
Local Equivalence of Real Analytic Hypersurfaces
In this chapter we describe several general approaches to determining local biholomorphic invariants of real analytic hypersurfaces, and develop some...
-
Classifications of Dupin hypersurfaces in Lie sphere geometry
This is a survey of local and global classification results concerning Dupin hypersurfaces in S n (or R n ) that have been obtained in the context of...
-
Homogeneous Hypersurfaces in Symmetric Spaces
A hypersurface of a Riemannian manifold is called homogeneous if it is an orbit of an isometric action on the ambient manifold. Homogeneous...
-
Geometry of Real Hypersurfaces: Analytic Continuation
In this chapter we discuss analytic continuation of germs of biholomorphic maps between real analytic strictly pseudoconvex hypersurfaces along paths...
-
On the topology of complex projective hypersurfaces
This is a survey article, in which we explore how the presence of singularities affects the geometry and topology of complex projective hypersurfaces.
-
On Boundedness of Maximal Operators Associated with Hypersurfaces
In this paper, we obtain a criterion of boundedness of maximal operators associated with smooth hypersurfaces. Also, we compute the exact value of...
-
Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities
In this note we study the systoles of convex hypersurfaces in R2n invariant under an anti-symplectic involution. We investigate a uniform upper bound...
-
Foliated Hopf hypersurfaces in complex hyperbolic quadrics
This paper deals with a limiting case motivated by contact geometry. The limiting case of a tensorial characterization of contact hypersurfaces in...
-
On Invariants and Invariant Hypersurfaces of Complex Discrete Dynamical Systems
We introduce the notion of a completely solvable complex real-holomorphic system of biholomorphisms and prove that such a system forms a discrete...
-
Index Estimates for Free Boundary f-minimal Hypersurfaces
We prove that the index is bounded from below by a linear function of its first Betti number for any compact free boundary f -minimal hypersurface in...
-
Einstein hypersurfaces in irreducible symmetric spaces
We give a full classification of Einstein hypersurfaces in irreducible Riemannian symmetric spaces of rank greater than 1 (the classification in the...
-
-
Fractal hypersurfaces, affine Weyl groups, and wavelet sets
In this expository paper, we present some fundamental connections between iterated function systems, in particular those whose attractors are the...
-
-
Mechanical Hamiltonian systems with respect to linear Poisson structures and Jacobi–Reeb dynamics
In this paper, we present a relation between Jacobi–Reeb dynamics and the dynamics associated with a mechanical Hamiltonian system with respect to a...
-
Lightlike hypersurfaces in spaces with concircular fields
Lightlike hypersurfaces in semi-Riemannian manifolds admitting concircular vector fields are investigated. We prove that such hypersurfaces are...
-
Computing Holonomic D-Modules Associated to a Family of Non-isolated Hypersurface Singularities via Comprehensive Gröbner Systems of PBW Algebra
The reduced b-functions and the relevant holonomic D-modules associated to a family of hypersurfaces with non-isolated singularities are considered...
