본문 바로가기
KERD
논문KCI 등재

p-BIHARMONIC HYPERSURFACES IN EINSTEIN SPACE AND CONFORMALLY FLAT SPACE

Ahmed Mohammed Cherif|Khadidja Mouffoki
대한수학회 (The Korean Mathematical Society)|2023.05|대한수학회보 (Bulletin of the KMS)|제60권 제3호|pp. 705-715|DOI 10.4134/BKMS.b220347

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

p-biharmonic mapsp-biharmonic submanifoldsEinstein space
주제분류수학

초록

In this paper, we present some new properties for $p$-biharmon\-ic hypersurfaces in a Riemannian manifold. We also characterize the $p$-biharmonic submanifolds in an Einstein space. We construct a new example of proper $p$-biharmonic hypersurfaces. We present some open problems.

Abstract

In this paper, we present some new properties for $p$-biharmon\-ic hypersurfaces in a Riemannian manifold. We also characterize the $p$-biharmonic submanifolds in an Einstein space. We construct a new example of proper $p$-biharmonic hypersurfaces. We present some open problems.

참고문헌 (10)

  1. Paul Baird, "p-harmonic maps and minimal submanifolds", Mathematische Annalen, 294(1), pp.611~624 (1992), Springer Science and Business Media LLC[DOI]
  2. P. Baird, "London Mathematical Society Monographs. New Series", pp.29~ (2003), The Clarendon Press, Oxford University Press
  3. B. Bojarski, "p-harmonic equation and quasiregular mappings, in Partial differential equations (Warsaw, 1984)", Banach Center Publ, 19, pp.25~38 (1987), PWN
  4. James Eells, "Harmonic Mappings of Riemannian Manifolds", American Journal of Mathematics, 86(1), pp.109~ (1964), JSTOR[DOI]
  5. Ali Fardoun, "On equivariant p-harmonic maps", Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 15(1), pp.25~72 (1998), European Mathematical Society - EMS - Publishing House GmbH[DOI]
  6. G. Y. Jiang, "2-harmonic maps and their first and second variational formulas", Chinese Ann. Math. Ser. A, 7(4), pp.389~402 (1986)
  7. Ahmed Mohammed Cherif, "On the p-harmonic and p-biharmonic maps", Journal of Geometry, 109(3) (2018), Springer Science and Business Media LLC[DOI]
  8. B. O'Neill, "Pure and Applied Mathematics", pp.103~ (1983), Academic Press, Inc
  9. Ye-Lin Ou, "Biharmonic hypersurfaces in Riemannian manifolds", Pacific Journal of Mathematics, 248(1), pp.217~232 (2010), Mathematical Sciences Publishers[DOI]
  10. Y. Xin, "Progress in Nonlinear Differential Equations and their Applications", pp.23~ (1996), Birkhauser Boston, Inc

관련 논문AI추천

SOME RESULTS OF p-BIHARMONIC MAPS INTO A NON-POSITIVELY CURVED MANIFOLDWei Zhang, Yingbo Han대한수학회 · 대한수학회지2015 · 제52권 제5호Biharmonic Submanifolds of Quaternionic Space FormsBouazza Kacimi, Mohammed Cherif경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제4호Biharmonic Hypersurfaces with Constant Scalar Curvature in E5sA. Sharfuddin, Deepika, Ram Shankar Gupta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제1호On the f-biharmonic Maps and SubmanifoldsA. Mohamed cherif, Kaddour Zegga, Mustapha Djaa경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호Some results on the geometry of a non-conformal deformation of a metricAbderrahim Zagane, Nour Elhouda Djaa대한수학회 · 대한수학회논문집2022 · 제37권 제3호New Methods of Construction for Biharmonic MapsAhmed Mohammed Cherif, Aicha Benkartab경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호

이 간행물의 다른 논문 (18건)

MACWILLIAMS-TYPE IDENTITIES ON VECTORIAL BOOLEAN FUNCTIONS WITH BENT COMPONENTS AND APPLICATIONS현종윤pp. 561-574EXTENSIONS OF MULTIPLE LAURICELLA AND HUMBERT’S CONFLUENT HYPERGEOMETRIC FUNCTIONS THROUGH A HIGHLY GENERALIZED POCHHAMMER SYMBOL AND THEIR RELATED PROPERTIESRITU AGARWAL, 최준상, Naveen Kumar, Rakesh K. Parmarpp. 575-591SOME RESULTS ON MEROMORPHIC SOLUTIONS OF Q-DIFFERENCE DIFFERENTIAL EQUATIONSZhenguang Gao, Manli Liu, Lingyun Gaopp. 593-610ON THE HYBRID MEAN VALUE OF GENERALIZED DEDEKIND SUMS, GENERALIZED HARDY SUMS AND KLOOSTERMAN SUMSQing Tian, Yan Wangpp. 611-622VANISHING THEOREMS FOR WEIGHTED HARMONIC 1-FORMS ON SMOOTH METRIC MEASURE SPACESWeili Wang, Xiaoli Chaopp. 623-636
원문 보기