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- W4287773464 abstract "We study quadric surfaces in the 3-dimensional Euclidean space which are of coordinate finite type Gauss map with respect to the second fundamental form $II$, i.e., their Gauss map vector $boldsymbol{n}$ satisfies the relation $Delta ^{II}boldsymbol{n}=varLambda boldsymbol{n}$, where $Delta ^{II}$ denotes the Laplace operator of the second fundamental form $II$ of the surface and $varLambda$ is a square matrix of order 3. We show that helicoids and spheres are the only class of surfaces mentioned above satisfying $Delta ^{II}boldsymbol{n}=varLambda boldsymbol{n}$." @default.
- W4287773464 created "2022-07-26" @default.
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- W4287773464 date "2020-05-31" @default.
- W4287773464 modified "2023-09-30" @default.
- W4287773464 title "Quadric surfaces of coordinate finite type Gauss map" @default.
- W4287773464 doi "https://doi.org/10.48550/arxiv.2006.04529" @default.
- W4287773464 hasPublicationYear "2020" @default.
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