Zobrazeno 1 - 10
of 54
pro vyhledávání: '"NAGATOMO, YASUYUKI"'
Autor:
Macia, Oscar, Nagatomo, Yasuyuki
The present article studies holomorphic isometric embeddings of arbitrary complex Grassmannians into quadrics, generalising results in [13]. The moduli spaces of these embeddings up to gauge and image equivalence are discussed using a generalisation
Externí odkaz:
http://arxiv.org/abs/2206.14052
Autor:
Koga, Isami, Nagatomo, Yasuyuki
Publikováno v:
In Differential Geometry and its Applications October 2024 96
Autor:
Macia, Oscar, Nagatomo, Yasuyuki
The present article studies holomorphic isometric embeddings of the complex two--plane Grassmannnian into quadrics. We discuss the moduli space of these embeddings up to gauge and image equivalence using a generalisation of do Carmo--Wallach theory.
Externí odkaz:
http://arxiv.org/abs/2110.12817
Autor:
Macia, Oscar, Nagatomo, Yasuyuki
The present article studies the class of Einstein-Hermitian harmonic maps of constant Kaehler angle from the projective line into quadrics. We provide a description of their moduli spaces up to image, and gauge-equivalence using the language of vecto
Externí odkaz:
http://arxiv.org/abs/1705.06545
We discuss holomorphic isometric embeddings of the projective line into quadrics using a generalisation of the theorem of do Carmo--Wallach to provide a description of their moduli spaces up to image and gauge--equivalence. Moreover, we show rigidity
Externí odkaz:
http://arxiv.org/abs/1408.3178
Autor:
Nagatomo, Yasuyuki
A harmonic map from a Riemannian manifold into a Grassmannian manifold is characterized by a vector bundle, a space of sections of this bundle and a Laplace operator. We apply our main theorem, itself a generalization of a Theorem of Takahashi, to ge
Externí odkaz:
http://arxiv.org/abs/1408.1504
Autor:
Koga, Isami, Nagatomo, Yasuyuki
We prove an extension of a theorem of A.Ros on a characterization of seven compact Kaehler submanifolds by holomorphic pinching to certain submanifolds of the complex Grassmannian manifolds.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/1304.3993
Autor:
Nagatomo, Yasuyuki
Publikováno v:
Transactions of the American Mathematical Society, 2001 Nov 01. 353(11), 4333-4355.
Externí odkaz:
https://www.jstor.org/stable/2693739
Autor:
Nagatomo, Yasuyuki
Publikováno v:
Proceedings of the American Mathematical Society, 1999 Oct 01. 127(10), 3043-3048.
Externí odkaz:
https://www.jstor.org/stable/119965
Autor:
Koga, Isami, Nagatomo, Yasuyuki
Publikováno v:
Osaka Journal of Mathematics. 59(3):495-514
Using gauge theory, we classify SU(2)-equivariant holomorphic embeddings from CP^1 with the Fubini–Study metric into Grassmann manifold Gr_N−2(C^N). It is shown that the moduli spaces of those embeddings are identified with the gauge equivalence
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::1866b030b6bce2c0b9b8f1f71e480eed
https://hdl.handle.net/11094/88483
https://hdl.handle.net/11094/88483