Introduction to Riemannian Manifolds

Lee, J. M. (2018). Introduction to Riemannian Manifolds. Springer.

Type

Book

Intellectual base

Textbook

Year

2018

Pages cited

30-32

DOI

10.1007/978-3-319-91755-9

ISBN

9783319917542

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/978-3-319-91755-9

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Euclidean Space
  • Riemannian manifolds are locally modeled on Euclidean space, but a general manifold can curve or have nontrivial global topology.

    This sourceTreats Euclidean space as the flat comparison model and distinguishes local Euclidean structure from curvature and global isometry.

• Second Fundamental Form
  • Lee's Riemannian treatment makes the normal-bundle and connection conventions explicit.
• Volume Element
  • A standard Riemannian characterization defines the volume form as the unique top form taking value one on every positively oriented orthonormal basis and gives its \(\sqrt{\det g}\) coordinate expression.

Verification

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Links previously used in the corpus

Before the registry existed this work was also linked 1 other way.

• https://sites.math.washington.edu/~lee/Books/RM/ ×1

Registry ID ref:490fe59c572d · see in the full table