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On the compact Riemannian manifolds with some geodesical properties

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Abstract

In the paper, we study an n-dimensional compact Riemannianmanifold (M, g) with the property that the lengthes of theimages c(mathbb{R}) in M of any geodesic curves c:mathbb{R}mapsto M are finite.

참고문헌 (4)

  1. "geometry and geometric analysis" (1995)
  2. "C^1 isometric imbeddings", 2, pp.383~ (1954)
  3. "The imbedding problem for Riemannian manifolds Ann. of Math.", pp.20~ (1956)
  4. "Differentiable manifolds", 37, pp.645~ (1936)

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