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SOME NOTE ON CHANGES OF RIEMANNIAN METRIC IN GEOMETRY OF SUB MANIFOLDS

Kazimierz Cegietka

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Abstract

M C S is the inclusion map.For p e M the tangent space T M is the direct sum of i* (T M) and { vt (T Ivl)) Kp *p p _ ;p p -the orthogonal component of (T M) in I il (with respect to G), i.e.

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M C S is the inclusion map.For p e M the tangent space T M is the direct sum of i* (T M) and { vt (T Ivl)) Kp *p p _ ;p p -the orthogonal component of (T M) in I il (with respect to G), i.e.

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Available abstract

M C S is the inclusion map.For p e M the tangent space T M is the direct sum of i* (T M) and { vt (T Ivl)) Kp *p p _ ;p p -the orthogonal component of (T M) in I il (with respect to G), i.e.

Key concepts: Mathematics, Riemannian geometry, Fundamental theorem of Riemannian geometry, Metric (unit), Levi-Civita connection, Information geometry, Curvature of Riemannian manifolds, Pure mathematics

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