Results 41 to 50 of about 39,362 (160)
Isometric immersions into three‐dimensional unimodular metric Lie groups
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro +2 more
wiley +1 more source
The differential geometry of almost Hermitian almost contact metric submersions
Three types of Riemannian submersions whose total space is an almost Hermitian almost contact metric manifold are studied. The study is focused on fundamental properties and the transference of structures.
T. Tshikuna-Matamba
doaj +1 more source
Stochastic properties of the Laplacian on Riemannian submersions [PDF]
Based on ideas of Pigolla and Setti \cite{PS} we prove that immersed submanifolds with bounded mean curvature of Cartan-Hadamard manifolds are Feller. We also consider Riemannian submersions $π\colon M \to N$ with compact minimal fibers, and based on various criteria for parabolicity and stochastic completeness, see \cite{Grygor'yan}, we prove that $M$
Brandão, M. Cristiane +1 more
openaire +3 more sources
Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley +1 more source
Harmonic Maps and Stability on f-Kenmotsu Manifolds
The purpose of this paper is to study some submanifolds and Riemannian submersions on an f-Kenmotsu manifold. The stability of a ϕ-holomorphic map from a compact f-Kenmotsu manifold to a Kählerian manifold is proven.
Vittorio Mangione
doaj +1 more source
Eigenforms of the Laplacian for Riemannian V-submersions [PDF]
Let p: Z -> Y be a Riemannian V-submersion of compact V-manifolds. We study when the pull-back of an eigenform of the Laplacian on Y is an eigenform of the Laplacian on Z, and when the associated eigenvalue can change.
Gilkey, Peter +2 more
openaire +4 more sources
Simple homotopy theory for Fukaya categories
Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley +1 more source
Willmore-Like Tori in Killing Submersions
The first variation formula and Euler-Lagrange equations for Willmore-like surfaces in Riemannian 3-spaces with potential are computed and, then, applied to the study of invariant Willmore-like tori with invariant potential in the total space of a ...
Manuel Barros +2 more
doaj +1 more source
Paracomplex Paracontact Pseudo-Riemannian Submersions [PDF]
We introduce the notion of paracomplex paracontact pseudo-Riemannian submersions from almost para-Hermitian manifolds onto almost paracontact metric manifolds. We discuss the transference of structures on total manifolds and base manifolds and provide some examples.
S. S. Shukla, Uma Shankar Verma
openaire +2 more sources
Intrinsic Shape LDA With Application to Body Human Shapes Classification
ABSTRACT Advancements in 3D scanning and cloud infrastructure enable the acquisition and analysis of high‐density body surface datasets. In this work, we propose a novel methodology that extends linear discriminant analysis (LDA) to Kendall's shape space for the classification of 3D objects, specifically human body shapes.
Jorge Valero +3 more
wiley +1 more source

