Results 1 to 10 of about 3,852 (171)
Shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional manifold and their classification [PDF]
ریاضی و جامعهThis paper aims to study of shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional smooth manifold. In this study firstly we state formulae for the shape operator and its symmetric and anti-symmetric components and in ...
Mehran Aminian, Mehran Namjoo
doaj +1 more source
Notes on a paper of Mess [PDF]
, 2007 These notes are a companion to the article "Lorentz spacetimes of constant curvature" by Geoffrey Mess, which was first written in 1990 but never published.
A. Ishibashi +80 more
core +4 more sources
Invariants and submanifolds in almost complex geometry [PDF]
, 2007 In this paper we describe the algebra of differential invariants for GL(n,C)-structures. This leads to classification of almost complex structures of general positions.
Kruglikov, Boris
core +2 more sources
On the existence of global solutions for $T^{3}$-Gowdy spacetimes with stringy matter [PDF]
, 2002 We show a global existence theorem for Einstein-matter equations of $T^{3}$-Gowdy symmetric spacetimes with stringy matter. The areal time coordinate is used. It is shown that this spacetime has a crushing singularity into the past. From these results we
Narita, Makoto
core +2 more sources
Holonomy and monodromy groupoids [PDF]
, 2001 We outline the construction of the holonomy groupoid of a locally Lie groupoid and the monodromy groupoid of a Lie groupoid. These specialise to the well known holonomy and monodromy groupoids of a foliation, when the groupoid is just an equivalence ...
Brown, Ronald, Icen, Ilhan, Mucuk, Osman
core +1 more source
A metric property of umbilic points
, 2003 In the space $\mathbb U^4$ of cubic forms of surfaces, regarded as a $G$-space and endowed with a natural invariant metric, the ratio of the volumes of those representing umbilic points with negative to those with positive indexes is evaluated in terms ...
J. Sotomayor +3 more
core +4 more sources
Transverse Killing and twistor spinors associated to the basic Dirac operators
, 2013 We study the interplay between basic Dirac operator and transverse Killing and twistor spinors. In order to obtain results for general Riemannian foliations with bundle-like metric we consider transverse Killing spinors that appear as natural extension ...
Ionescu, Adrian Mihai +3 more
core +1 more source
Foliation, jet bundle and quantization of Einstein gravity [PDF]
, 2016 In \cite{Park:2014tia} we proposed a way of quantizing gravity with the Hamiltonian and Lagrangian analyses in the ADM setup. One of the key observations was that the physical configuration space of the 4D Einstein-Hilbert action admits a three ...
Park, I. Y.
core +2 more sources
Foliated backgrounds for M-theory compactifications (II)
, 2015 We summarize the foliation approach to ${\cal N}=1$ compactifications of eleven-dimensional supergravity on eight-manifolds $M$ down to $\mathrm{AdS}_3$ spaces for the case when the internal part $\xi$ of the supersymmetry generator is chiral on some ...
Babalic, E. M., Lazaroiu, C. I.
core +2 more sources
Dynamics and the Godbillon-Vey Class of C^1 Foliations [PDF]
, 2015 Let F be a codimension-one, C^2-foliation on a manifold M without boundary. In this work we show that if the Godbillon--Vey class GV(F) \in H^3(M) is non-zero, then F has a hyperbolic resilient leaf.
Hurder, Steven, Langevin, Rémi
core +1 more source