nash embedding theorem
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A Note on the extrinsic phase Space path Integral Method for quantization on Riemannian Manifold Particle Motions - An application of Nash Embedding Theorem

Lecture Notes in Topics in Path Integrals and String Representations ◽

10.1142/9789813143470_0011 ◽

2017 ◽

pp. 219-226

Keyword(s):

Riemannian Manifold ◽

Phase Space ◽

Path Integral ◽

Integral Method ◽

Embedding Theorem ◽

Path Integral Method ◽

Nash Embedding Theorem

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A Note on the Extrinsic Phase Space Path Integral Method for Quantization on Riemannian Manifold Particle Motions — An Application of the Nash Embedding Theorem

Brazilian Journal of Physics ◽

10.1007/s13538-012-0106-x ◽

2012 ◽

Vol 42 (5-6) ◽

pp. 482-486

Author(s):

Luiz C. L. Botelho

Keyword(s):

Riemannian Manifold ◽

Phase Space ◽

Path Integral ◽

Integral Method ◽

Embedding Theorem ◽

Path Integral Method ◽

Nash Embedding Theorem

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THE STRUCTURE OF ALGEBRAIC COVARIANT DERIVATIVE CURVATURE TENSORS

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s0219887804000356 ◽

2004 ◽

Vol 01 (06) ◽

pp. 711-720 ◽

Author(s):

J. DÍAZ-RAMOS ◽

B. FIEDLER ◽

E. GARCÍA-RÍO ◽

P. GILKEY

Keyword(s):

Covariant Derivative ◽

Embedding Theorem ◽

Curvature Tensors ◽

Nash Embedding Theorem

We use the Nash embedding theorem to construct generators for the space of algebraic covariant derivative curvature tensors.

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