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Dergiler / International Electronic Journal of Geometry / 2021 / Cilt: 14 - Sayı: 2

Restricted Jacobi Fields

Dennis I. Barrett and Claudiu C. Remsing
Sayfa
247–265
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also briefly discuss the existence of restricted Jacobi fields.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We generalize the concept of a Jacobi field to nonholonomic Riemannian geometry, considering both nonholonomic Jacobi fields, and, more generally, restricted Jacobi fields.
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Temel Bulgular & Veri:In the first case, the corresponding Jacobi equation involves the nonholonomic connection and the Schouten curvature tensor.
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Sonuç & Katkı:We also briefly discuss the existence of restricted Jacobi fields.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Nonholonomic Riemannian structure · Jacobi field · Schouten curvature tensor

Abstract

We generalize the concept of a Jacobi field to nonholonomic Riemannian geometry, considering both nonholonomic Jacobi fields, and, more generally, restricted Jacobi fields. In the first case, the corresponding Jacobi equation involves the nonholonomic connection and the Schouten curvature tensor. In the second case, the Jacobi equation involves connections and curvature tensors arising in the construction of the Wagner curvature tensor. We also briefly discuss the existence of restricted Jacobi fields.

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Bu Makaleye Atıf Yap

Remsing, D. I. B. A. C. C. (2022). Restricted Jacobi Fields. International Electronic Journal of Geometry, Cilt: 14 - Sayı: 2, 247–265. https://ajindex.com/articles/539596

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Kaynakça (19)

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