Zobrazeno 1 - 10
of 2 102
pro vyhledávání: '"53c40"'
Autor:
Ssekajja, Samuel
In this note, we show that a lightlike hypersurface of an indefinite Sasakian manifold, which is tangent to structure vector field is not locally symmetric, semi-symmetric or semi-parallel.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/2412.02719
For compact submanifolds in Euclidean and Spherical space forms with Ricci curvature bounded below by a function $\alpha(n,k,H,c)$ of mean curvature, we prove that the submanifold is either isometric to the Einstein Clifford torus, or a topological s
Externí odkaz:
http://arxiv.org/abs/2411.14112
In this article we classify totally geodesic submanifolds of homogeneous nearly K\"ahler 6-manifolds, and of the G2-cones over these 6-manifolds. To this end, we develop new techniques for the study of totally geodesic submanifolds of analytic Rieman
Externí odkaz:
http://arxiv.org/abs/2411.11261
Autor:
Yamaguchi, Kentaro
In the previous work, we study the closure of a complex subtorus in a toric manifold given by the data of an affine subspace. We call it torus-equivariantly embedded toric manifold when the closure of a complex subtorus is a smooth complex submanifol
Externí odkaz:
http://arxiv.org/abs/2411.06715
Autor:
Cecil, Thomas E.
A hypersurface $M^n$ in a real space form ${\bf R}^{n+1}$, $S^{n+1}$, or $H^{n+1}$ is isoparametric if it has constant principal curvatures. This paper is a survey of the fundamental work of Cartan and M\"{u}nzner on the theory of isoparametric hyper
Externí odkaz:
http://arxiv.org/abs/2411.04231
Autor:
Li, Minghao, Yang, Ling
In this paper, we study transnormal and isoparametric functions on general Riemannian manifolds. We show that transnormal and isoparametric functions impose the same topological constraints on the manifold, which requires the underlying manifold to h
Externí odkaz:
http://arxiv.org/abs/2410.21016
Autor:
Foscolo, Lorenzo, Trinca, Federico
We exhibit new minimal 2-spheres in hyperk\"ahler 4-manifolds arising from the Gibbons--Hawking ansatz and in the K3 manifold endowed with a hyperk\"ahler metric. These minimal surfaces are obtained via a gluing construction using the Scherk surface
Externí odkaz:
http://arxiv.org/abs/2410.20396
Autor:
Drach, Kostiantyn, Tatarko, Kateryna
In this paper, we present sharp stability results for various reverse isoperimetric problems in $\mathbb R^2$. Specifically, we prove the stability of the reverse isoperimetric inequality for $\lambda$-convex bodies -- convex bodies with the property
Externí odkaz:
http://arxiv.org/abs/2410.06096
Autor:
Güvenç, Şaban
In this paper, we firstly provide a concise overview of $\mathcal{S}-$manifolds, $f$-biharmonicity and $\theta _{\alpha }$-slant curves. We then derive a key equation and analyze it in detail to establish the necessary and sufficient conditions for $
Externí odkaz:
http://arxiv.org/abs/2410.04876
Autor:
Andronic, Ştefan, Kayhan, Aykut
In this paper we present alternative proofs for two known rigidity results concerning non-negatively curved compact biconservative hypersurfaces in space forms. Further, we prove some new rigidity results by replacing the hypothesis of non-negative s
Externí odkaz:
http://arxiv.org/abs/2409.18617