Results 61 to 70 of about 42,392 (191)
Diffeomorphism Invariant Integrable Field Theories and Hypersurface Motions in Riemannian Manifolds
, 1995 We discuss hypersurface motions in Riemannian manifolds whose normal velocity is a function of the induced hypersurface volume element and derive a second order partial differential equation for the corresponding time function $\tau(x)$ at which the ...
Chen Y. G. +4 more
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On nondegenerate orbits of 7-dimensional Lie algebras containing a 3-dimensional Abelian ideal
Современная математика: Фундаментальные направленияThis paper is related to the problem of describing homogeneous real hypersurfaces of multidimensional complex spaces as orbits of the action of Lie groups and algebras in these spaces.
A. V. Atanov, A. V. Loboda
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Thermodynamic geometry of three-dimensional Einstein–Maxwell-dilaton black hole
European Physical Journal C: Particles and Fields, 2018 The thermodynamics of a three-dimensional Einstein–Maxwell-dilaton black hole is investigated using the method of thermodynamic geometry. According to the definition of thermodynamic geometry and the first law of the black hole, two-dimensional Ruppeiner
Xin-Yang Wang, Ming Zhang, Wen-Biao Liu
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Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley +1 more source
Isoparametric and Dupin Hypersurfaces
Symmetry, Integrability and Geometry: Methods and Applications, 2008 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
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 2001 Recent advances in CR (Cauchy-Riemann) geometry have raised interesting fine questions about the regularity of CR mappings between real analytic hypersurfaces.
Joël Merker
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Complex submanifolds in real-analytic pseudoconvex hypersurfaces [PDF]
Proceedings of the National Academy of Sciences, 1977 A theorem is given that guarantees the existence of nontrivial complex analytic submanifolds in real-analytic pseudoconvex boundaries near real-analytic submanifolds with holomorphic vectorfields on which the Levi form vanishes. Applications to the δ̄-Neumann problem and to the existence of Stein neighborhoods are discussed.
Diederich, Klas, Fornaess, John Erik
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Holomorphically homogeneous real hypersurfaces in $\mathbb {C}^3$ [PDF]
Transactions of the Moscow Mathematical Society, 2021 This paper is to appear in the Proceeding of the Moscow Mathematical Society ("Trudy Moskovskogo Matematicheskogo Obshchestva"); it was submitted to the journal in March 2020. The current version is the original Russian one, and the English version is to appear soon.
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Parametrization of local biholomorphisms of real analytic hypersurfaces
, 1997 Let $M$ be a real analytic hypersurface in $\bC^N$ which is finitely nondegenerate, a notion that can be viewed as a generalization of Levi nondegenerate, at $p_0\in M$.
Baouendi, M. S. +2 more
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