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Biharmonic Maps on Doubly Warped Product Manifolds

Seddik Ouakkas|Khaldia Madani
경북대학교 자연과학대학 수학과|2020.09|Kyungpook Mathematical Journal|제60권 제3호|pp. 599-627|DOI 10.5666/KMJ.2020.60.3.601

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키워드

biharmonic mapharmonic mapdoubly warped product
주제분류수학

초록

In this paper, we characterize a class of biharmonic maps from and between doubly product manifolds in terms of theie warping function. Examples are constructed when all of the factors are Euclidean spaces.

Abstract

In this paper, we characterize a class of biharmonic maps from and between doubly product manifolds in terms of theie warping function. Examples are constructed when all of the factors are Euclidean spaces.

참고문헌 (15)

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관련 논문AI추천

Harmonic and biharmonic maps on doubly twisted product manifoldsAbdelhamid Boulal, Mustapha Djaa, Seddik Ouakkas대한수학회 · 대한수학회논문집2018 · 제33권 제1호New Methods of Construction for Biharmonic MapsAhmed Mohammed Cherif, Aicha Benkartab경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호Harmonic maps and biharmonic maps on principal bundles and warped productsHajime Urakawa대한수학회 · 대한수학회지2018 · 제55권 제3호Geometry of (p, f)-bienergy variations between Riemannian manifoldsAhmed Mohammed Cherif, Embarka Remli경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제2호On the f-biharmonic Maps and SubmanifoldsA. Mohamed cherif, Kaddour Zegga, Mustapha Djaa경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호LIOUVILLE TYPE THEOREMS FOR TRANSVERSALLY HARMONIC AND BIHARMONIC MAPS정민주, 정승달대한수학회 · 대한수학회지2017 · 제54권 제3호

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