Real hypersurfaces of Kahler manifolds.
Building on work by S. M. Webster \ref[J. Differential Geom. 13 (1978), no. 1, 25--41; MR0520599 (80e:32015)] the author studies the geometry of the second fundamental form of a real hypersurface in a Kähler manifold. As an application he proves that a compact strictly pseudoconvex hypersurface $M\subsetC^n$ is isometric to a sphere provided that $M ...
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The Dirac equation across the horizons of the 5D Myers-Perry geometry: separation of variables, radial asymptotic behaviour and Hamiltonian formalism. [PDF]
Wang QS.
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Smoothness and stability in the Alt-Phillips problem. [PDF]
Carducci M, Tortone G.
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Topology of random real hypersurfaces
These are notes of the mini-course I gave during the CIMPA summer school at Villa de Leyva, Colombia, in July $2014$. The subject was my joint work with Damien Gayet on the topology of random real hypersurfaces, restricting myself to the case of projective spaces and focusing on our lower estimates.
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Transversality of holomorphic maps into hyperquadrics. [PDF]
Huang X, Zhu W.
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Kähler metrics associated to a real hypersurface
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Cones of Noether-Lefschetz divisors and moduli spaces of hyperkähler manifolds. [PDF]
Barros I, Beri P, Flapan L, Williams B.
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Bioinspired multiscale adaptive suction on complex dry surfaces enhanced by regulated water secretion. [PDF]
Yue T +5 more
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Hardware-tailored diagonalization circuits. [PDF]
Miller D +7 more
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Massless and massive scalar shell dynamics from rotating BTZ black holes with nonminimally coupled scalar fields. [PDF]
Javed F +6 more
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