Associate Professor, Dip. Mat. Univ. Pisa

Email: magnani AT dm.unipi.it

Home-page: http://people.dm.unipi.it/magnani/

Available papers (55):

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• V. Magnani - D. Tiberio (Submitted Paper)
  The Michor-Mumford conjecture in Hilbertian H-type groups (2024)
• F. Corni - V. Magnani (Preprint)
  Symmetry results for the area formula in homogeneous groups (2024)
• F. Corni - V. Magnani (Submitted Paper)
  Area of intrinsic graphs in homogeneous groups (2023)
• S. Don - V. Magnani (Calc. Var. Partial Differential Equations)
  Surface measure on, and the local geometry of, sub-Riemannian manifolds (2023)
• F. Corni - V. Magnani (Adv. Calc. Var.)
  Area formula for regular submanifolds of low codimension in Heisenberg groups (2023)
• V. Magnani (J. Geom. Anal.)
  Rotational symmetries and spherical measure in homogeneous groups (2022)
• V. Magnani - D. Tiberio (Revista Matemática Complutense)
  On the Michor-Mumford phenomenon in the infinite dimensional Heisenberg group (2022)
• G. M. Leccese - V. Magnani (Ann. Mat. Pura Appl.)
  A study of measure-theoretic area formulas (2022)
• V. Magnani - A. Minne (Anal. PDE)
  Optimal Regularity of Solutions to No-Sign Obstacle-Type Problems for the Sub-Laplacian (2022)
• K. O. Idu - V. Magnani - F. P. Maiale (J. Math. Anal. Appl.)
  Characterizations of $k$-rectifiability in homogenous groups (2021)
• G. E. Comi - V. Magnani (Adv. Math.)
  The Gauss-Green theorem in stratified groups (2020)
• V. Magnani - D. Tiberio (Proc. Amer. Math. Soc.)
  A remark on vanishing geodesic distances in infinite dimensions (2020)
• V. Chousionis - V. Magnani - J. T. Tyson (Adv. Math.)
  On uniform measures in the Heisenberg group (2020)
• V. Magnani (Calc. Var. Partial Differential Equations)
  Towards a theory of area in homogeneous groups (2019)
• V. Magnani - A. Pinamonti - G. Speight (Ann. Mat. Pura Appl.)
  Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups (2019)
• V. Magnani - E. Stepanov - D. Trevisan (J. Lond. Math. Soc.)
  A rough calculus approach to level sets in the Heisenberg group (2018)
• V. Magnani - D. Trevisan (Commun. Contemp. Math.)
  On Lipschitz vector fields and the Cauchy problem in homogeneous groups (2018)
• V. Magnani - A. Zapadinskaya (Selecta Math. (N.S.))
  A Gromov's dimension comparison estimate for rectifiable sets (2017)
• V. Magnani ( Indiana Univ. Math. J.)
  A new differentiation, shape of the unit ball and perimeter measure (2017)
• V. Magnani (Ann. Acad. Sci. Fenn. Math.)
  Some remarks on densities in the Heisenberg group (2017)
• V. Magnani - M. Scienza (Rev. Mat. Iberoam.)
  Regularity estimates for convex functions in Carnot-Carathéodory spaces (2016)
• V. Chousionis - V. Magnani - J. Tyson (Calc. Var. Partial Differential Equations)
  Removable sets for Lipschitz harmonic functions on Carnot groups (2015)
• L. Ambrosio - R. Ghezzi - V. Magnani (Ann. Inst. H. Poincaré Anal. Non Linéaire)
  BV functions and sets of finite perimeters in sub-Riemannian manifolds (2015)
• V. Magnani - J. Malý - S. Mongodi (J. Geom. Anal. )
  A low rank property and nonexistence of higher dimensional horizontal Sobolev sets (2015)
• V. Magnani (Proc. Roy. Soc. Edinburgh Sect. A)
  On a measure-theoretic area formula (2015)
• V. Magnani - J. T. Tyson - D. Vittone (J. Anal. Math.)
  On transversal submanifolds and their measure (2015)
• V. Magnani - T. Rajala ( Int. Math. Res. Not. IMRN)
  Radon-Nikodym property and area formula for Banach homogeneous group targets (2014)
• V. Magnani - M. Scienza (Ann. Scuola Norm. Sup. Pisa Cl. Sci.)
  Characterizations of differentiability for h-convex functions in stratified groups (2014)
• A. Bonfiglioli - E. Lanconelli - V. Magnani - M. Scienza (Proc. Amer. Math. Soc. )
  H-convex distributions in stratified groups (2013)
• V. Magnani (J. Aust. Math. Soc.)
  Towards Differential Calculus in stratified groups (2013)
• R. Korte - V. Magnani (Illinois J. Math.)
  Measure of curves in graded groups (2012)
• V. Magnani (Bruno Pini Mathematical Analysis Seminar)
  Lipschitz estimates for convex functions with respect to vector fields (2012)
• V. Magnani (Colloq. Math.)
  An area formula in metric spaces (2011)
• V. Magnani ( Indiana Univ. Math. J.)
  Area implies coarea (2011)
• G. P. Leonardi - V. Magnani (J. Math. Anal. Appl. )
  Intersections of intrinsic submanifolds in the Heisenberg group (2011)
• V. Magnani (J. Geom. Anal. )
  Blow-up estimates at horizontal points and applications (2010)
• V. Magnani (Proc. Amer. Math. Soc. )
  Nonexistence of horizontal Sobolev surfaces in the Heisenberg group (2010)
• V. Magnani (Calc. Var. Partial Differential Equations )
  Contact equations, Lipschitz extensions and isoperimetric inequalities (2010)
• E. Le Donne - V. Magnani (Rev. Mat. Iberoam.)
  Measure of submanifolds in the Engel group (2010)
• V. Magnani - D. Vittone (J. Reine Angew. Math.)
  An intrinsic measure for submanifolds in stratified groups (2008)
• V. Magnani ( J. Anal. Math.)
  Non-horizontal submanifolds and coarea formula (2008)
• V. Magnani (Math. Ann.)
  Lipschitz continuity, Aleksandrov theorem and characterizations for H-convex functions (2006)
• V. Magnani ( J. Eur. Math. Soc.)
  Characteristic points, rectifiability and perimeter measure on stratified groups (2006)
• V. Magnani (Cent. Eur. J. Math.)
  Blow-up of regular submanifolds in Heisenberg groups and applications (2006)
• V. Magnani (Ricerche Mat.)
  Spherical Hausdorff measure of submanifolds in Heisenberg groups (2006)
• V. Magnani (Studia Math.)
  Differentiability from representation formula and Sobolev-Poincarè inequality (2005)
• V. Magnani (Math. Nachr. )
  The coarea formula for real-valued Lipschitz maps on stratified groups (2005)
• V. Magnani (Arch. Math.)
  Unrectifiability and rigidity in stratified groups (2004)
• V. Magnani (Publ. Mat.)
  Note on coarea formulae in the Heisenberg group (2004)
• L. Ambrosio - V. Magnani (Math. Z.)
  Weak differentiability of BV functions on stratified groups (2003)
• V. Magnani (Manuscripta Math.)
  A Blow-up Theorem for regular hypersurfaces on nilpotent groups (2003)
• B. Kirchheim - V. Magnani (Proc. Ed. Math. Soc. )
  A counterexample to metric differentiability (2003)
• V. Magnani ( Ann. Acad. Sci. Fenn. Math.)
  On a general coarea inequality and applications (2002)
• V. Magnani (Scuola Normale Superiore: Collana "Tesi")
  Elements of Geometric Measure Theory on sub-Riemannian groups (2002)
• V. Magnani (Houston J. Math.)
  Differentiability and Area formula on Stratified Lie groups (2001)

Seminars:

• 12 oct 2016: From coarea formula to level set differential equations
• 30 sep 2009: Nonintegrable tangent distributions and Sobolev surfaces
• 20 apr 2005: Rectifiable sets and currents in Heisenberg groups
• 27 may 2004: An intrinsic notion of mass in the Heisenberg group

Speaker:

• 29 may 2023 - 2 jun 2023: Geometric Measure Theory, Bressanone 2023
• 24 jun 2019 - 28 jun 2019: 11th School on Analysis and Geometry in Metric Spaces
• 14 sep 2018 - 14 sep 2018: A sub-Riemannian day in Padova
• 14 may 2018 - 18 may 2018: Mini-colloquium «Rough differential calculus and weak geometric structures»

Organizer:

• 10 jun 2025 - 19 jun 2025: School in Geometric Measure Theory and some related topics
• 9 jun 2024 - 15 jun 2024: Geometric And Variational Analysis - In memory of Jan Malý
• 12 jun 2023 - 16 jun 2023: Calculus of Variations and Geometric Measure Theory
• 10 feb 2020 - 12 feb 2020: Dispersive and subelliptic PDEs
• 16 apr 2019 - 17 apr 2019: Some topics of Geometric Analysis and Geometric Measure Theory
• 27 feb 2018 - 28 feb 2018: Workshop: Vector Fields, Surfaces and Perimeters in Singular Geometries
• 20 jun 2016 - 23 jun 2016: Singular Phenomena and Singular Geometries
• 22 feb 2012 - 22 feb 2012: A One Day Workshop on Symmetry, Subharmonicity and Nonsmooth Vector Fields