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- W4313158730 abstract "Using theories of principal fibre bundles and connections in [11], we study curvature invariants as Riemannian submanifolds for equivariant isometric minimal immersions from Riemannian or Hermitian symmetric spaces of compact type into Grassmannian manifolds. First we calculate principal curvatures of all equivariant full isometric minimal immersions from the complex projective line to complex quadrics. It is shown that they do not depend on the parameter of the moduli space. According to the preceding research, it is important for the study of curvature invariants to examine the behavior of higher order covariant derivative of the second fundamental form. It also enables us to distinguish those maps by curvature invariants in the moduli space. In addition, we calculate principal curvatures of all equivariant full holomorphic isometric embeddings between the complex projective spaces." @default.
- W4313158730 created "2023-01-06" @default.
- W4313158730 creator A5045755458 @default.
- W4313158730 date "2022-12-01" @default.
- W4313158730 modified "2023-09-25" @default.
- W4313158730 title "Curvature Invariants of Equivariant Isometric Minimal Immersions into Grassmannian Manifolds" @default.
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- W4313158730 doi "https://doi.org/10.3836/tjm/1502179381" @default.
- W4313158730 hasPublicationYear "2022" @default.
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