Differential geometry of grassmannians and the Plucker map

被引：5

作者：

Anan'in, Sasha ^{[1
]}

Grossi, Carlos H. ^{[2
]}

机构：

[1] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083859 Campinas, SP, Brazil

[2] Univ Sao Paulo, ICMC, Dept Matemat, BR-13566590 Sao Carlos, SP, Brazil

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2012年 / 10卷 / 03期

关键词：

Classic geometries; Plucker map; Hyperbolic geometry;

D O I：

10.2478/s11533-012-0021-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the Plucker map between grassmannians, we study basic aspects of classic grassmannian geometries. For 'hyperbolic' grassmannian geometries, we prove some facts (for instance, that the Plucker map is a minimal isometric embedding) that were previously known in the 'elliptic' case.

引用

页码：873 / 884

页数：12

共 50 条

[21] Geometry of fanning curves in divisible Grassmannians
Duran, Carlos E.
Peixoto, Cintia R. A.
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2016, 49 : 447 - 472
[22] Betti numbers of stable map spaces to Grassmannians
Bagnarol, Massimo
MATHEMATISCHE NACHRICHTEN, 2022, 295 (10) : 1869 - 1900
[23] Poincare polynomials of stable map spaces to Grassmannians
Martin, Alberto Lopez
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2014, 131 : 193 - 208
[24] QUATERNIONIC GRASSMANNIANS AND BOREL CLASSES IN ALGEBRAIC GEOMETRY
Panin, I
Walter, C.
ST PETERSBURG MATHEMATICAL JOURNAL, 2022, 33 (01) : 97 - 140
[25] Integral Geometry on Discrete Grassmannians in Z n
Abouelaz, Ahmed
Casadio Tarabusi, Enrico
Ihsane, Abdallah
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2009, 6 (03) : 303 - 316
[26] On the differential properties of algebraic morphisms into Grassmannians
Ballico, E
COMPOSITIO MATHEMATICA, 1997, 106 (01) : 71 - 85
[27] Projective Geometry, Duality and Plucker Coordinates for Geometric Computations with Determinants on GPUs
Skala, Vaclav
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016), 2017, 1863
[28] ON BIRATIONAL GEOMETRY OF THE SPACE OF PARAMETRIZED RATIONAL CURVES IN GRASSMANNIANS
Ito, Atsushi
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (09) : 6279 - 6301
[29] Discrete asymptotic nets and W-congruences in Plucker line geometry
Doliwa, A
JOURNAL OF GEOMETRY AND PHYSICS, 2001, 39 (01) : 9 - 29
[30] Projective aspects of the geometry of Lagrangian Grassmannians and Spinor varieties
Freire, Ageu Barbosa
Massarenti, Alex
Rischter, Rick
BULLETIN DES SCIENCES MATHEMATIQUES, 2020, 159

← 1 2 3 4 5 →