Results 81 to 90 of about 32,499 (242)
The holomorphic sectional curvature and “convex” real hypersurfaces in Kähler manifolds [PDF]
Duong Ngoc Son
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Floer theory for the variation operator of an isolated singularity
Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae +3 more
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Optical catastrophes of the swallowtail and butterfly beams
We experimentally realize higher-order catastrophic structures in light fields presenting solutions of the paraxial diffraction catastrophe integral. They are determined by potential functions whose singular mapping manifests as caustic hypersurfaces in ...
Alessandro Zannotti +3 more
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Ricci tensor of real hypersurfaces [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Amplified spontaneous emission (ASE) in difluoroboron‐based gain molecules is shown to originate from aggregated singlet states (S1), contradicting its previously assumed phosphorescent origin. Additionally, the delayed emission arises from a triplet–triplet annihilation upconversion (TTA‐UC) mechanism rather than a thermally activated (TADF) process ...
Suman Kuila +6 more
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Isoparametric and Dupin Hypersurfaces
A hypersurface $M^{n−1}$ in a real space-form $R^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For $R^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as Élie Cartan ...
Thomas E. Cecil
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Dynamics of entanglement in expanding quantum fields
We develop a functional real-time approach to computing the entanglement between spatial regions for Gaussian states in quantum field theory. The entanglement entropy is characterized in terms of local correlation functions on space-like Cauchy ...
Jürgen Berges +2 more
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Index of minimal hypersurfaces in real projective spaces [PDF]
Shuli Chen
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Real hypersurfaces in Kähler manifolds [PDF]
This paper is concerned with the geometry of embedded real hypersurfaces in a Kähler manifold, where isomorphisms are both holomorphic and isometric in the underlying Riemannian structure. The author introduces their local invariants and compatibility relations, solves the local realization problem, and gives a characterization of the metric sphere in \
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On the Work of Cartan and Münzner on Isoparametric Hypersurfaces
A hypersurface Mn in a real space form Rn+1, Sn+1, or Hn+1 is isoparametric if it has constant principal curvatures. This paper is a survey of the fundamental work of Cartan and Münzner on the theory of isoparametric hypersurfaces in real space forms, in
Thomas E. Cecil, Patrick J. Ryan
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