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Emilio MUSSO

Full professor

emilio.musso@polito.it
+39 011 090 7567
Politecnico di Torino
Dipartimento di Scienze Matematiche
"G. L. Lagrange"
Corso Duca degli Abruzzi, 24
10129 Torino, ITALY

Curriculum
Research
Publications
Teaching

Current position

From 2008 - Full Professor, Politecnico di Torino.

Past positions

1985-1989 - Assistant Professor, University of L'Aquila.
1989-1992 - Assistant Professor, University of Florence.
1992-1994 - Associated Professor, University "La Sapienza" of Rome.
1994-2008 - Full Professor, University of L'Aquila.

Education

1987 - PhD in Mathematics (Washington University in St. Louis).
Title of the thesis: "Pseudoholomorphic curves in the six sphere". Dissertation advisor: Prof. G. R. Jensen.

Papers published in Scientific Journals

E. Musso. The Ricci curvature of two-step nilpotent groups, (Italian) Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. 117 (1983), no. 4-6, 271–276.
E. Musso, F. Tricerri. Riemannian metrics on tangent bundles, Ann. Mat. Pura Appl. 150 (1988), 1–19.
E. Musso. On the twistor space of the six-sphere, Bull. Austral. Math. Soc. 39 (1989), no. 1, 119–127.
E. Musso. Locally conformally Kähler submersions, (Italian) Boll. Un. Mat. Ital. A 3 (1989), no. 2, 171–176.
E. Musso. Contact twistors and conformal geometry, (Italian) Riv. Mat. Univ. Parma 15 (1989), 227–245.
E. Musso. Willmore surfaces in the four-sphere, Ann. Global Anal. Geom. 8 (1990), no. 1, 21–41.
E. Musso. Homogeneous pseudo-Hermitian Riemannian manifolds of Einstein type, Amer. J. Math. 113 (1991), no. 2, 219–241.
E. Musso. Integrability conditions for Fubini's fundamental forms, (Italian) Rend. Sem. Mat. Univ. Politec. Torino 48 (1992), no. 1, 21–43.
E. Musso. On the transformation group of a quaternionic manifold, Boll. Un. Mat. Ital. B 6 (1992), no. 1, 79–103.
E. Musso. The local embedding problem for optical structures, J. Geom. Phys. 10 (1992), no. 1, 1–18.
E. Musso. On a property of curves that are stationary with respect to curvature-dependent functionals, (Italian) Rend. Mat. Appl. (7) 12 (1992), no. 3, 805–815.
E. Musso. The conformal arclength functional, Math. Nachr. 165 (1994), 107–131.
G. R. Jensen, E. Musso. Rigidity of hypersurfaces in complex projective space, Ann. Sci. École Norm. Sup. (4) 27 (1994), no. 2, 227–248.
E. Musso, L. Nicolodi. L-minimal canal surfaces, Rend. Mat. Appl. (7) 15 (1995), no. 3, 421–445.
E. Musso. Deformation of surfaces in Möbius space, (Italian) Rend. Istit. Mat. Univ. Trieste 27 (1995), no. 1-2, 25–45.
E. Musso, L. Nicolodi. A variational problem for surfaces in Laguerre geometry, Trans. Amer. Math. Soc. 348 (1996), no. 11, 4321–4337.
E. Musso, L. Nicolodi. Isothermic surfaces in Laguerre geometry, Boll. Un. Mat. Ital. II-B 11 (1997), no. 2, suppl., 125–144.
E. Musso. Isothermic Surfaces in Euclidean Space, Publ. Depto. Geometria y Topologia Univ. Santiago de Compostela 89 (1998), 219-235.
E. Musso, L. Nicolodi. Willmore canal surfaces in Euclidean space, Rend. Istit. Mat. Univ. Trieste 31 (1999), no. 1-2, 177–202.
E. Musso, L. Nicolodi. L-minimal surfaces with plane lines of curvature, Abh. Math. Sem. Univ. Hamburg 69 (1999), 123–138.
E. Musso. Spectral deformations associated with the catenoid, Rend. Sem. Mat. Messina Ser. II 7 (2000), 45–61.
E. Musso, L. Nicolodi. The Bianchi-Darboux transform of L-isothermic surfaces, Internat. J. Math. 11 (2000), no. 7, 911–924.
E. Musso. Elastic curves and the Delaunay problem for curves with constant torsion, Rend. Circ. Mat. Palermo (2) 50 (2001), no. 2, 285–298.
U. Hertrich-Jeromin, E. Musso, L. Nicolodi. Möbius geometry of surfaces of constant mean curvature 1 in hyperbolic space, Ann. Global Anal. Geom. 19 (2001), no. 2, 185–205.
E. Musso. Liouville integrability of a variational problem for Legendrian curves in the three-dimensional sphere, Selected topics in Cauchy-Riemann geometry, 281–306, Quad. Mat. Seconda Univ. Napoli (2001).
J. D. E. Grant, E. Musso. Coisotropic variational problems, J. Geom. Phys. 50 (2004), no. 1-4, 303–338.
E. Musso, L. Nicolodi. On the Cauchy problem for the integrable system of Lie minimal surfaces, J. Math. Phys. 46 (2005), no. 11, 15 pp.
E. Musso, L. Nicolodi. Reduction for the projective arclength functional, Forum Math. 17 (2005), no. 4, 569–590.
E. Musso, L. Nicolodi. Tableaux over Lie algebras, integrable systems, and classical surface theory, Comm. Anal. Geom. 14 (2006), no. 3, 475–496.
E. Musso, L. Nicolodi. Deformation and applicability of surfaces in Lie sphere geometry, Tohoku Math. J. (2) 58 (2006), no. 2, 161–187.
E. Musso, L. Nicolodi. Closed trajectories of a particle model on null curves in anti-de Sitter 3-space, Classical Quantum Gravity 24 (2007), no. 22, 5401–5411.
E. Musso, L. Nicolodi. A class of overdetermined systems defined by tableaux: involutiveness and the Cauchy problem, Phys. D 229 (2007), no. 1, 35–42.
E. Musso, L. Nicolodi. Reduction for constrained variational problems on 3-dimensional null curves, SIAM J. Control Optim. 47 (2008), no. 3, 1399–1414.
E. Musso, L. Nicolodi. The spinor representation of CMC 1 surfaces in hyperbolic space, Note Mat. 28 (2009), suppl. 1, 317–339.
E. Musso, L. Nicolodi. Conformal deformation of spacelike surfaces in Minkowski space, Houston J. Math. 35 (2009), no. 4, 1029–1049.
E. Musso, L. Nicolodi. Symplectic applicability of Lagrangian surfaces, SIGMA Symmetry Integrability Geom. Methods Appl. 5 (2009), 18 pp.
E. Musso, L. Nicolodi. Invariant signatures of closed planar curves, J. Math. Imaging Vision 35 (2009), no. 1, 68–85.
E. Musso. An experimental study of Goldstein-Petrich curves, Rend. Semin. Mat. Univ. Politec. Torino 67 (2009), no. 4, 407–426.
E. Musso. Variational problems for plane curves in centro-affine geometry, J. Phys. A 43 (2010), no. 30, 305206, 24 pp.
E. Musso, L. Nicolodi. Hamiltonian flows on null curves, Nonlinearity 23(2010), no. 9, 2117–2129.
E. Musso. Motions of curves in the projective plane inducing the Kaup-Kupershmidt hierarchy, SIGMA Symmetry Integrability Geom. Methods Appl. 8 (2012), 20 pp.
E. Musso, L. Nicolodi. On Small-type formulae for curves in PSL(2,C), Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 24 (2013), no. 3, 311–328.
E. Hubert, E. Musso. Lagrangian curves in a 4-dimensional affine symplectic space, Acta Appl. Math. 134 (2014), 133–160.
G. R. Jensen, E. Musso, L. Nicolodi. The geometric Cauchy problem for the membrane shape equation, J. Phys. A 47 (2014), no. 49, 495201, 22 pp.
E. Musso, L. Nicolodi. Marginally outer trapped surfaces in de Sitter space by low-dimensional geometries, J. Geom. Phys. 96 (2015), 168–186.
A. Dzhalilov, E. Musso, L. Nicolodi. Conformal geometry of timelike curves in the (1+2)-Einstein universe, Nonlinear Anal. 143 (2016), 224–255.
E. Musso, L. Nicolodi. Holomorphic differentials and Laguerre deformation of surfaces, Math. Z. 284 (2016), no. 3-4, 1089–1110.
J. M. Manzano, E. Musso, L. Nicolodi. Björling type problems for elastic surfaces, Rend. Semin. Mat. Univ. Politec. Torino 74 (2016), no. 1-2, 213–233.
E. Musso, L. Nicolodi. Quantization of the conformal arclength functional on space curves, Comm. Anal. Geom. 25 (2017), no. 1, 209–242.
G. R.Jensen, E. Musso, L. Nicolodi. Compact surfaces with no Bonnet mate, J. Geom. Anal. 28 (2018), no. 3, 2644–2652.
D. Impera, E. Musso. Space-like Willmore Immersions, Riv. Mat. Univ. Parma 9 (2018), 1-29.
E. Musso, L. Nicolodi. Topologically embedded helicoidal pseudospherecal cylinders, Nonlinearity 32 (2019), 22-45.
N. Siemsek, A. Dzhalilov, E. Musso. Some remarks on the geometry of circle maps with a break point, Filomat 32 (2019), 5549-5563.
O. Eshkobilov, E. Musso., Nicolodi L. Critical Robertson-Walker universes, Differ. Geom. Appl. 66 (2019), 23-41.

Papers published in Procedings of Conferences

E. Musso, F. Tricerri. Groups with polynomial growth and differential geometry. Generators and relations in groups and geometries, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Kluwer Acad. Publ. 333 (1991), 291–320.
E. Musso, L. Nicolodi. On the equation defining isothermic surfaces in Laguerre geometry. New developments in differential geometry, Kluwer Acad. Publ. (1999), 285–294.
D. Carfì, E. Musso. T-transforms of Willmore isothermic surfaces. Numero speciale dei Rend. Sem. Mat. Messina (2000), 69-86.
E. Musso, L. Nicolodi. Special isothermic surfaces and solitons. Global differential geometry: the mathematical legacy of Alfred Gray, Contemp. Math., Amer. Math. Soc. 288 (2001), 129–148.
E. Musso, L. Nicolodi. Darboux transforms of Dupin surfaces. PDEs, submanifolds and affine differential geometry, Banach Center Publ. 57, Polish Acad. Sci. Inst. Math. (2002), 135–154.
E. Musso. Density flow of a vector field along the Roman surface of Steiner. Proceedings of the international conference “Generative Art 2005”, edided by Celestino Soddu, AleaDesign srl (2005).
E. Musso, L. Nicolodi. Differential systems associated with tableaux over Lie algebras. Symmetries and overdetermined systems of partial differential equations, IMA Vol. Math. Appl. 144, Springer (2008), 497–513.
E. Musso. Linear Control Systems and Invariant Variational Problems. Convegno Internazionale di Geometria in onore della Prof.ssa R. Grimaldi. Boll. Mat. pura e appl. Vol. III (2010), 71-87 .
E. Musso. Congruence curves of the Goldstein-Petrich flows. Harmonic maps and differential geometry, Contemp. Math. 542, Amer. Math. Soc. (2011), 99–113.
E. Musso. Closed Trajectories of the conformal arclength functional. Journal of Physics. CONFERENCE SERIES 410 (2013), 1-4.
E. Musso, L. Nicolodi. Sufarces in Laguerre geometry. Banach Center Publ., Polish Acad. Sci. Inst. Math. 117 (2019), 223-255.

Books

E. Musso, O. Kowalski, D. Perrone. Complex, Contact and Symmetric Manifolds: in Honor of L. Vanhecke. Birkhauser, vol. 234, 2005. p. 1-277.
G. R. Jensen, E. Musso, L. Nicolodi. Surfaces in classical geometries. A treatment by moving frames. Universitext. Springer, 2016. xiii+571 pp.
S. G. Chiossi, A. Fino, E. Musso, F. Podestà, L. Vezzoni. Special Metrics and Group Actions in Geometry. Springer, INdAM Series, vol. 23, 2017. p. 1-338.