Results 91 to 100 of about 1,685 (212)
Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
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Real hypersurfaces in complex space forms
, 2012 In this thesis the problem of classifying three dimensional real hypersurfaces in complex projective space form CP2 and in complex hyperbolic space form CH2, in terms of conditions concerning the structure Jacobi operator ℓ has been studied. In Chapter 1
Panagiotidou, Konstantina +1 more
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Patchworking real algebraic hypersurfaces with asymptotically large Betti numbers
, 2022 In this article, we describe a recursive method for constructing a family of real projective algebraic hypersurfaces in ambient dimension $n$ from families of such hypersurfaces in ambient dimensions $k=1,\ldots,n-1$. The asymptotic Betti numbers of real
Arnal, Charles
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On the Work of Cartan and Münzner on Isoparametric Hypersurfaces
AxiomsA 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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On holomorphic one-forms transverse to closed hypersurfaces
Anais da Academia Brasileira de Ciências, 2003 In this note we announce some achievements in the study of holomorphic distributions admitting transverse closed real hypersurfaces. We consider a domain with smooth boundary in the complex affine space of dimension two or greater. Assume that the domain
Toshikazu Ito, Bruno Scárdua
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Journal of Computational Chemistry, Volume 47, Issue 14, 30 May 2026.PES‐trotter is a cross‐platform open‐source application for the exploration and analysis of 3D potential‐energy landscapes associated to molecular systems. Along with video‐game‐like exploration, it allows plotting energy profiles from custom paths, computing critical points and minimum‐energy paths, and playing back dynamical trajectories. PES‐trotter
Erwan Privat +4 more
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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
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Real hypersurfaces of a complex projective space
Tsukuba Journal of Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonexistence of Homogeneous Levi-Flat Hypersurfaces in
MathematicsWe investigate the longstanding question of whether compact Levi-flat hypersurfaces exist in the complex projective plane CP2. While the nonexistence of closed real-analytic Levi-flat hypersurfaces in CPn for n>2 is well known, the case n=2 remains open.
Abdel Rahman Al-Abdallah
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Real hypersurfaces with constant principal curvatures in complex space forms
, 2011 We present the motivation and current state of the classification problem of real hypersurfaces with constant principal curvatures in complex space forms.
Domínguez-Vázquez, Miguel +1 more
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