Results 11 to 20 of about 44,278 (213)

Rigidity of pairs of rational homogeneous spaces of Picard number $1$ and analytic continuation of geometric substructures on uniruled projective manifolds

open access: yesJournal of differential geometry, 2019
Building on the geometric theory of uniruled projective manifolds by Hwang-Mok, which relies on the study of varieties of minimal rational tangents (VMRTs) from both the algebro-geometric and the differential-geometric perspectives, Mok, Hong-Mok and ...
N. Mok, Yunxin Zhang
semanticscholar   +1 more source

Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties [PDF]

open access: yes, 1981
These are expository notes from the 2008 Srni Winter School. They have two purposes: (1) to give a quick introduction to exterior differential systems (EDS), which is a collection of techniques for determining local existence to systems of partial ...
Archivum Mathematicum   +2 more
core   +6 more sources

Extension Phenomena for Holomorphic Geometric Structures [PDF]

open access: yes, 2009
The most commonly encountered types of complex analytic G-structures and Cartan geometries cannot have singularities of complex codimension 2 or more.Comment: published ...
McKay, Benjamin
core   +8 more sources

Inhomogeneous Cosmological Models Containing Homogeneous Inner Hypersurface Geometry. Changes of the BIANCHI Type. [PDF]

open access: yes, 2001
There are investigated such cosmological models which instead of the usual spatial homogeneity property only fulfil the condition that in a certain synchronized system of reference all spacelike sections t = const. are homogeneous manifolds.
H. Schmidt
semanticscholar   +1 more source

Holomorphic Parabolic Geometries and Calabi-Yau Manifolds [PDF]

open access: yes, 2011
We prove that the only complex parabolic geometries on Calabi-Yau manifolds are the homogeneous geometries on complex tori.
McKay, Benjamin
core   +4 more sources

On post-Lie algebras, Lie--Butcher series and moving frames

open access: yes, 2013
Pre-Lie (or Vinberg) algebras arise from flat and torsion-free connections on differential manifolds. They have been studied extensively in recent years, both from algebraic operadic points of view and through numerous applications in numerical analysis,
A. Connes   +43 more
core   +2 more sources

Graded Differential Geometry of Graded Matrix Algebras

open access: yes, 1999
We study the graded derivation-based noncommutative differential geometry of the $Z_2$-graded algebra ${\bf M}(n| m)$ of complex $(n+m)\times(n+m)$-matrices with the ``usual block matrix grading'' (for $n\neq m$).
Dubois-Violette M.   +5 more
core   +2 more sources

Compact Riemannian Manifolds with Homogeneous Geodesics [PDF]

open access: yes, 2009
A homogeneous Riemannian space $(M= G/H,g)$ is called a geodesic orbit space (shortly, GO-space) if any geodesic is an orbit of one-parameter subgroup of the isometry group $G$.
Alekseevsky, D. V., Nikonorov, Yu. G.
core   +5 more sources

Privileged Coordinates and Nilpotent Approximation of Carnot Manifolds, I. General Results

open access: yes, 2018
In this paper we attempt to give a systematic account on privileged coordinates and the nilpotent approximation of Carnot manifolds. By a Carnot manifold it is meant a manifold with a distinguished filtration of subbundles of the tangent bundle which is ...
Choi, Woocheol, Ponge, Raphael
core   +1 more source

Mitigation of Cracks in High‐Performance Nickel‐Based Superalloys in Powder Bed Fusion Laser Beam of Metals Using a Metal Matrix Composite Approach

open access: yesAdvanced Engineering Materials, EarlyView.
High‐performance nickel‐based superalloys are often not processible in additive manufacturing (AM) due to hot cracking. The findings in this manuscript propose an efficient method to mitigate cracking and enhance mechanical properties of these alloys by producing a metal matrix composite, contributing to the material and process perspective of the AM ...
Klaus Büßenschütt   +3 more
wiley   +1 more source

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