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Geometry of Energy and Bienergy Variations between Riemannian Manifolds

Mustapha Djaa|Ahmed Mohamed Cherif
경북대학교 자연과학대학 수학과|2015.09|Kyungpook Mathematical Journal|제55권 제3호|pp. 715-730

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참고문헌

키워드

Energy variationL-harmonic mapsL-biharmonic mapsStress L-bi-energy tensors
주제분류수학

초록

In this note, we extend the de¯nition of harmonic and biharmonic maps via the variation of energy and bienergy between two Riemannian manifolds. In particular we present some new properties for the generalized stress energy tensor and the divergence of the generalized stress bienergy.

Abstract

In this note, we extend the de¯nition of harmonic and biharmonic maps via the variation of energy and bienergy between two Riemannian manifolds. In particular we present some new properties for the generalized stress energy tensor and the divergence of the generalized stress bienergy.

참고문헌 (16)

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관련 논문AI추천

Geometry of (p, f)-bienergy variations between Riemannian manifoldsAhmed Mohammed Cherif, Embarka Remli경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제2호On the Generalized of p-harmonic and f-harmonic MapsAhmed Mohammed Cherif, Embarka Remli경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제1호New Methods of Construction for Biharmonic MapsAhmed Mohammed Cherif, Aicha Benkartab경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호On the conformal triharmonic mapsSeddik Ouakkas, Yasmina Reguig대한수학회 · 대한수학회논문집2022 · 제37권 제2호Biharmonic Maps on Doubly Warped Product ManifoldsKhaldia Madani, Seddik Ouakkas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제3호Harmonic and biharmonic maps on doubly twisted product manifoldsAbdelhamid Boulal, Mustapha Djaa, Seddik Ouakkas대한수학회 · 대한수학회논문집2018 · 제33권 제1호

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