Some conditions on real hypersurfaces in quaternionic projective spaces in terms of lie derivatives

被引：0

作者：

De Dios Pérez J. ^{[1
]}

Lyu S.M.

Suh Y.J. ^{[2
]}

机构：

[1] Depto. de Geometria y Topologia, Facultad de Ciencias, Universidad de Granada

[2] Department of Mathematics, Kyungpook National University

来源：

Acta Mathematica Hungarica | 1999年 / 85卷 / 3期

关键词：

Projective Space; Structure Tensor; Real Hypersurface; Fundamental Tensor; Quaternionic Projective Space;

D O I：

10.1023/A:1006627815212

中图分类号：

学科分类号：

摘要：

The purpose of this paper is to give a non-existence property with the Lie derivative of the structure tensors φi and some characterizations of real hypersurfaces of type A1, A2 in a quaternionic projective space QPm in terms of the Lie derivatives of the second fundamental tensor A and the induced Riemannian metric g on the distribution D⊥ = Span {U1, U2, U3}.

引用

页码：241 / 251

页数：10

共 46 条

[31] Derivatives of the Lie structure operator on a real hypersurface in complex projective space
Juan de Dios Pérez
David Pérez-López
Monatshefte für Mathematik, 2021, 196 : 281 - 303
[32] Lie Derivatives of the Shape Operator of a Real Hypersurface in a Complex Projective Space
Perez, Juan de Dios
Perez-Lopez, David
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (05)
[33] Lie Derivatives of the Shape Operator of a Real Hypersurface in a Complex Projective Space
Juan de Dios Pérez
David Pérez-López
Mediterranean Journal of Mathematics, 2021, 18
[34] SOME FORMULAS IN THEORY OF LIE DERIVATIVES IN FINSLER SPACES
SINHA, RS
TENSOR, 1972, 25 : 332 - 336
[35] Two Conditions on the Structure Jacobi Operator for Real Hypersurfaces in Complex Projective Space
de Dios Perez, Juan
Suh, Young Jin
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2011, 54 (03): : 422 - 429
[36] Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator is Lie D-parallel
de Dios Perez, Juan
Suh, Young Jin
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2013, 56 (02): : 306 - 316
[37] STRUCTURAL THEOREMS FOR TOPOLOGICAL ACTIONS OF Z2-TORI ON REAL, COMPLEX AND QUATERNIONIC PROJECTIVE SPACES
HSIANG, WY
COMMENTARII MATHEMATICI HELVETICI, 1974, 49 (04) : 479 - 491
[38] Reeb Lie derivatives on real hypersurfaces in complex hyperbolic two-plane Grassmannians
Pak, Eunmi
Kim, Gyu Jong
FILOMAT, 2023, 37 (03) : 915 - 924
[39] Lie Derivatives and Ricci Tensor on Real Hypersurfaces in Complex Two-plane Grassmannians
Jeong, Imsoon
de Dios Perez, Juan
Suh, Young Jin
Woo, Changhwa
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2018, 61 (03): : 543 - 552
[40] REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH D⊥-PARALLEL LIE DERIVATIVES
Suh, Young Jin
De Dios Perez, Juan
Jin, Hyung Jun
Yang, Hae Young
HOUSTON JOURNAL OF MATHEMATICS, 2010, 36 (03): : 711 - 726

← 1 2 3 4 5 →