Journal of the Korean Mathematical Society (대한수학회지)
- Volume 33 Issue 1
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- Pages.169-181
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- 1996
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
SOME LINEARLY INDEPENDENT IMMERSIONS INTO THEIR ADJOINT HYPERQUADRICS
Abstract
Let $x : M^n \longrightarrow E^m$ be an isometric immersion of an n-dimensional connected Riemannian manifold into the m-dimensional Euclidean space. Then the metric tensor on $M^n$ is naturally induced from that of $E^m$.
Keywords
- Finite type immersions;
- linearly independent immersions;
- orthogonal immersions;
- adjoint hyperquarics