Results 11 to 20 of about 1,106 (239)

Projective and Analytical Geometry

Nature, 1924
(1) PROF. WINGER'S work is intended by the author to serve as an introduction to the higher parts of modern geometry, and on the whole well serves this purpose.
Marshall Hall, J. A. Todd
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Analytic projective geometry [PDF]

Choice Reviews Online, 2015
Eduardo Casas-Alvero
openaire   +2 more sources

Analytic torsion forms for fibrations by projective curves [PDF]

Mathematische Zeitschrift, 2022
An explicit formula for analytic torsion forms for fibrations by projective curves is given. In particular one obtains a formula for direct images in Arakelov geometry in the corresponding setting.
Kai Koehler
semanticscholar   +1 more source

The mathematics of painting: the birth of projective geometry in the Italian Renaissance [PDF]

Notices of the International Consortium of Chinese Mathematicians, 2022
We show how the birth of perspective painting in the Italian Renaissance led to a new way of interpreting space that resulted in the creation of projective geometry.
G. Gentili, Luisa Simonutti, D. Struppa
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On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry [PDF]

, 2020
Weyl (Zur Infinitisimalgeometrie: Einordnung der projektiven und der konformen Auffasung, Nachrichten von der K. Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse, Göttinger Akademie der Wissenschaften, Göttingen, 1921 ...
F. Jean, S. Maslovskaya, I. Zelenko
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Projective geometry and the quaternionic Feix–Kaledin construction [PDF]

Transactions of the American Mathematical Society, 2015
Starting from a complex manifold S with a real-analytic c-projective structure whose curvature has type (1,1), and a complex line bundle L with a connection whose curvature has type (1,1), we construct the twistor space Z of a quaternionic manifold M ...
Aleksandra Borówka, D. Calderbank
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Nearly Kähler Geometry and $(2,3,5)$-Distributions via Projective Holonomy [PDF]

, 2014
We show that any dimension 6 nearly K\"ahler (or nearly para-K\"ahler) geometry arises as a projective manifold equipped with a $\mathrm{G}_2^{(*)}$ holonomy reduction.
Rod A. Gover, R. Panai, T. Willse
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Rigidity of pairs of rational homogeneous spaces of Picard number $1$ and analytic continuation of geometric substructures on uniruled projective manifolds

Journal 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
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Differential geometry and general relativity with algebraifolds [PDF]

Journal of Geometry and Physics
It is often noted that many of the basic concepts of differential geometry, such as the definition of connection, are purely algebraic in nature. Here, we review and extend existing work on fully algebraic formulations of differential geometry which ...
Tobias Fritz
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Properness criteria for families of coherent analytic spaces [PDF]

Algebraic Geometry, 2017
We extend Langton's valuative criterion for families of coherent algebraic sheaves to a complex analytic set-up. As a consequence we derive a set of sufficient conditions for the compactness of a moduli space of semistable sheaves over a compact complex ...
M. Toma
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