지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2024.9
- 수록면
- 923 - 951 (29page)
- DOI
- 10.4134/JKMS.j230315
이용수
초록· 키워드
오류제보하기
We consider a vector bundle map $F\colon E_{1}\raw E_{2}$ between Lie algebroids $E_{1}$ and $E_{2}$ over arbitrary bases $M_{1}$ and $M_{2}$. We associate to it different notions of curvature which we call A-curvature, Q-curvature, P-curvature, and S-curvature using the different characterizations of Lie algebroid structure, namely Lie algebroid, Q-manifold, Poisson and Schouten structures. We will see that these curvatures generalize the ordinary notion of curvature defined for a vector bundle, and we will prove that these curvatures are equivalent, in the sense that $F$ is a morphism of Lie algebroids if and only if one (and hence all) of these curvatures is null. In particular we get as a corollary that $F$ is a morphism of Lie algebroids if and only if the corresponding map is a morphism of Poisson manifolds (resp. Schouten supermanifolds).
목차
등록된 정보가 없습니다.
참고문헌 (0)
참고문헌 신청함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
VISUAL CURVATURE FOR SPACE CURVES
호남수학학술지
2015 .01
-
CURVATURES ON THE ABBENA-THURSTON MANIFOLD
호남수학학술지
2016 .01
-
Complete noncompact submanifolds of manifolds with negative curvature
대한수학회지
2024 .01
-
Some rigidity characterizations of Einstein metrics as critical points for quadratic curvature functionals
대한수학회보
2020 .01
-
On the growth of algebroid solutions of algebraic differential equations
대한수학회보
2024 .05
-
Some characterizations of canal surfaces
대한수학회보
2016 .01
-
Deformation of Cartan curvature on Finsler manifolds
대한수학회보
2017 .01
-
RICCI SOLITONS ON RICCI PSEUDOSYMMETRIC (LCS)<sub>n</sub>-MANIFOLDS
호남수학학술지
2018 .01
-
Uniqueness of families of minimal surfaces in $\mathbb{R}^3$
대한수학회지
2018 .01
-
Stability of total scalar curvature and the critical point equation
대한수학회보
2024 .01
-
Curvature estimates for gradient expanding Ricci solitons
대한수학회보
2021 .01
-
The W*-curvature Tensor on Relativistic Space-times
Kyungpook Mathematical Journal
2020 .01
-
ON SOME GEOMETRIC PROPERTIES OF QUADRIC SURFACES IN EUCLIDEAN SPACE
호남수학학술지
2016 .01
-
Mayer-Vietoris sequence in cohomology of Lie algebroids on simplicial complexes
대한수학회논문집
2018 .01
-
Weakly Einstein critical point equation
대한수학회보
2016 .01
-
Bj\"{o}rling problem for zero mean curvature surfaces in the three-dimensional light cone
대한수학회보
2024 .03
-
A complete map of Berry curvature texture in low dimensions
한국자기학회 학술연구발표회 논문개요집
2023 .05
-
TRANSLATION AND HOMOTHETICAL SURFACES IN EUCLIDEAN SPACE WITH CONSTANT CURVATURE
대한수학회지
2015 .01
-
On the curvature functions of tube-like surfaces in the Galilean space
대한수학회논문집
2021 .01
-
On the prescribed mean curvature problem on the standard $n$-dimensional ball
대한수학회지
2016 .01
최근 본 자료
댓글(0)
0