Zobrazeno 1 - 10
of 485
pro vyhledávání: '"Pipoli A"'
Autor:
de Lima, Ronaldo F., Pipoli, Giuseppe
We classify the isoparametric hypersurfaces and the homogeneous hypersurfaces of $\mathbb H^n\times\mathbb R$ and $\mathbb S^n\times\mathbb R$, $n\ge 2$, by establishing that any such hypersurface has constant angle function and constant principal cu
Externí odkaz:
http://arxiv.org/abs/2411.11506
Autor:
Lumetti, Luca, Pipoli, Vittorio, Marchesini, Kevin, Ficarra, Elisa, Grana, Costantino, Bolelli, Federico
Recently, the field of 3D medical segmentation has been dominated by deep learning models employing Convolutional Neural Networks (CNNs) and Transformer-based architectures, each with their distinctive strengths and limitations. CNNs are constrained
Externí odkaz:
http://arxiv.org/abs/2410.15496
Autor:
Bei, Francesco, Pipoli, Giuseppe
Let $f:N\rightarrow (M,g)$ be an oriented (or spin), complete, stable, minimal, immersed hypersurface. In this paper we establish various vanishing theorems for the space of $L^2$-harmonic forms and spinors (in the spin case) under suitable positive
Externí odkaz:
http://arxiv.org/abs/2407.18836
We prove a Ros-Rosenberg theorem in the setting of Special Weingarten surfaces. We show that a compact, connected, embedded, Special Weingarten surface in $\mathhb{R}^3$ with planar convex boundary is a topological disk under mild suitable assumption
Externí odkaz:
http://arxiv.org/abs/2406.16511
We classify hypersurfaces with rotational symmetry and positive constant $r$-th mean curvature in $\mathbb H^n \times \mathbb R$. Specific constant higher order mean curvature hypersurfaces invariant under hyperbolic translation are also treated. Som
Externí odkaz:
http://arxiv.org/abs/2304.00349
Autor:
de Lima, Ronaldo F., Pipoli, Giuseppe
We consider translators to the extrinsic flows in $\mathbb R^n\times\mathbb R$ and $\mathbb H^n\times\mathbb R$ (called $r$-mean curvature flows or $r$-MCF, for short) whose velocity functions are the higher order mean curvatures $H_r.$ We show that
Externí odkaz:
http://arxiv.org/abs/2211.03918
Publikováno v:
Advanced Nonlinear Studies, Vol 24, Iss 1, Pp 44-73 (2024)
We classify hypersurfaces with rotational symmetry and positive constant r-th mean curvature in Hn×R ${\mathbb{H}}^{n}{\times}\mathbb{R}$ . Specific constant higher order mean curvature hypersurfaces invariant under hyperbolic translation are also t
Externí odkaz:
https://doaj.org/article/d27ecf2b508a4268b2d1723e131bb96b
Publikováno v:
IEEE Access, Vol 12, Pp 79014-79024 (2024)
Segmentation of the Inferior Alveolar Canal (IAC) is a critical aspect of dentistry and maxillofacial imaging, garnering considerable attention in recent research endeavors. Deep learning techniques have shown promising results in this domain, yet th
Externí odkaz:
https://doaj.org/article/8e26fe01c094446caf7be2474256431f
Autor:
Nelli, Barbara, Pipoli, Giuseppe
We show that constant mean curvature hypersurfaces in $\mathbb H^n\times\mathbb R$, with small and pinched boundary contained in a horizontal slice $P$ are topological disks, provided they are contained in one of the two halfspaces determined by $P$.
Externí odkaz:
http://arxiv.org/abs/2110.03985
Autor:
Pipoli, Giuseppe
A recent paper [CGT] studies the evolution of star-shaped mean convex hypersurfaces of the Euclidean space by a class of nonhomogeneous expanding curvature flows. In the present paper we consider the same problem in the real, complex and quaternionic
Externí odkaz:
http://arxiv.org/abs/2010.03308