Lagrangian Geometry of the Grassmannian $$\mathrm{Gr}(1, n)$$

Yet another topological type of a Lagrangian submanifold in the Grassmannian $$\operatorname{Gr}(1, n)$$ is presented, which supplements the list of examples of various homogeneity degrees constructed by using a generalization of A. E. Mironov’s construction.

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Publication Details

Journal
Mathematical Notes
Published
2024-12-01
DOI
https://doi.org/10.1134/s0001434624110439
Primary Topic
Advanced Differential Geometry Research
Type
article
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article

Lagrangian Geometry of the Grassmannian $$\mathrm{Gr}(1, n)$$

Nikolai Andreevich Tyurin
Mathematical Notes
Advanced Differential Geometry Research
article

Lagrangian Geometry of the Grassmannian $$\mathrm{Gr}(1, n)$$

Nikolai Andreevich Tyurin
article en

Abstract

Yet another topological type of a Lagrangian submanifold in the Grassmannian $$\operatorname{Gr}(1, n)$$ is presented, which supplements the list of examples of various homogeneity degrees constructed by using a generalization of A. E. Mironov’s construction.

Mathematical NotesVol. 116(5-6)
Joint Institute for Nuclear Research (RU)
Openalex Percentile: Top 80%
Advanced Differential Geometry Research
DOISourceOpenAlex
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Lagrangian Geometry of the Grassmannian $\mathrm{Gr}(1, n)$ — Nikolai Andreevich Tyurin · Mathematical Notes (2024) | TGRS Research Map | TGRS