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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Similar results for Finsler spaces can be found in [1] and [3].
📌 3 Maddede Bu Makale
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Amaç & Hipotez:A Cartan space is a pair (M, K), where M is a smooth manifold and K an Hamiltonean on the slit cotangent bundle $T_0^{star}$ M := TM{(x, 0), x$in$ M}, that is positively homogeneous of degree 1 in momenta.
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Temel Bulgular & Veri:We show that K induces an almost 2-paracontact Riemannian structure on $T_0^{star} M whose restriction to the figuratrix bundle $Bbb{K}$ = {(x,p) K(x,p) = 1} is an almost paracontact structure.
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Sonuç & Katkı:Similar results for Finsler spaces can be found in [1] and [3].
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
Abstract
A Cartan space is a pair (M, K), where M is a smooth manifold and K an Hamiltonean on the slit cotangent bundle $T_0^{star}$ M := TM{(x, 0), x$in$ M}, that is positively homogeneous of degree 1 in momenta. We show that K induces an almost 2-paracontact Riemannian structure on $T_0^{star} M whose restriction to the figuratrix bundle $Bbb{K}$ = {(x,p) K(x,p) = 1} is an almost paracontact structure. A condition for this almost para-contact structure to be normal is found, and its geometrical meaning is pointed out. Similar results for Finsler spaces can be found in [1] and [3].
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Bu Makaleye Atıf Yap
GIRTU, M. (2022). An almost 2-paracontact structure on the cotangent bundle of a Cartan space. Hacettepe Journal of Mathematics and Statistics, Cilt: 33 - Sayı:, 15–22. https://ajindex.com/articles/530806