VANISHING THEOREMS FOR WEIGHTED HARMONIC 1-FORMS ON SMOOTH METRIC MEASURE SPACES

키워드

참고문헌 (29)

1. Kevin Brighton, "A Liouville-Type Theorem for Smooth Metric Measure Spaces", Journal of Geometric Analysis, 23(2), pp.562~570 (2011), Springer Science and Business Media LLC[DOI]
2. Edward L. Bueler, "The heat kernel weighted Hodge Laplacian on noncompact manifolds", Transactions of the American Mathematical Society, 351(2), pp.683~713 (1999), American Mathematical Society (AMS)[DOI]
3. David M.J. Calderbank, "Refined Kato Inequalities and Conformal Weights in Riemannian Geometry", Journal of Functional Analysis, 173(1), pp.214~255 (2000), Elsevier BV[DOI]
4. Marcos Petrúcio Cavalcante, "L 2-Harmonic 1-Forms on Submanifolds with Finite Total Curvature", Journal of Geometric Analysis, 24(1), pp.205~222 (2012), Springer Science and Business Media LLC[DOI]
5. Xiaoli Chao, "Vanishing theorems for p-harmonic ℓ-forms on Riemannian manifolds with a weighted Poincaré inequality", Differential Geometry and its Applications, 76, pp.101741~ (2021), Elsevier BV[DOI]
6. Xiaoli Chao, "$L^2$ harmonic $1$-forms on submanifolds with weighted Poincar\'{e} inequality", 대한수학회지, 53(3), pp.583~595 (2016), 대한수학회
7. Xiaoli Chao, "Lv, Lp harmonic 1-form on submanifold with weighted Poincare inequality", Czechoslovak Mathematical Journal, 68(1), pp.195~217 (2018), Institute of Mathematics, Czech Academy of Sciences[DOI]
8. Daniel Cibotaru, "Refined Kato inequalities for harmonic fields on Kähler manifolds", Pacific Journal of Mathematics, 256(1), pp.51~66 (2012), Mathematical Sciences Publishers[DOI]
9. Nguyen Thac Dung, "p-harmonic ℓ-forms on Riemannian manifolds with a weighted Poincare inequality", Nonlinear Analysis: Theory, Methods & Applications, 150, pp.138~150 (2017), Elsevier BV[DOI]
10. Nguyen Thac Dung, "Harmonic 1-forms on immersed hypersurfaces in a Riemannian manifold with weighted Bi-Ricci curvature bounded from below", Journal of Mathematical Analysis and Applications, 484(1), pp.123693~ (2020), Elsevier BV[DOI]
11. Nguyen Thac Dung, "Eigenfunctions of the weighted Laplacian and a vanishing theorem on gradient steady Ricci soliton", Journal of Mathematical Analysis and Applications, 416(2), pp.553~562 (2014), Elsevier BV[DOI]
12. Nguyen Thac Dung, "Vanishing theorems for L2 harmonic 1-forms on complete submanifolds in a Riemannian manifold", Journal of Mathematical Analysis and Applications, 423(2), pp.1594~1609 (2015), Elsevier BV[DOI]
13. Nguyen Thac Dung, "p-Harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold", Annali di Matematica Pura ed Applicata (1923 -), 196(4), pp.1489~1511 (2016), Springer Science and Business Media LLC[DOI]
14. Nguyen Thac Dung, "Analysis of weighted p-harmonic forms and applications", International Journal of Mathematics, 30(11), pp.1950058~ (2019), World Scientific Pub Co Pte Lt[DOI]
15. Hai-Ping Fu, "Rigidity theorems on smooth metric measure spaces with weighted Poincaré inequality", Nonlinear Analysis: Theory, Methods & Applications, 98, pp.1~12 (2014), Elsevier BV[DOI]
16. Yingbo Han, "Vanishing theorems for f-harmonic forms on smooth metric measure spaces", Nonlinear Analysis, 162, pp.113~127 (2017), Elsevier BV[DOI]
17. Kwan-hang Lam, "Results on a weighted Poincaré inequality of complete manifolds", Transactions of the American Mathematical Society, 362(10), pp.5043~5043 (2010), American Mathematical Society (AMS)[DOI]
18. P. Li, "Complete manifolds with positive spectrum", J. Differential Geom, 58(3), pp.501~534 (2001)
19. John Lott, "Some geometric properties of the Bakry-Emery-Ricci tensor", Commentarii Mathematici Helvetici, 78(4), pp.865~883 (2003), Research Institute for Mathematical Sciences, Kyoto University[DOI]
20. Ovidiu Munteanu, "Smooth metric measure spaces with non-negative curvature", Communications in Analysis and Geometry, 19(3), pp.451~486 (2011), International Press of Boston[DOI]
21. Nguyen Dinh Sang, "STABLE MINIMAL HYPERSURFACES WITH WEIGHTED POINCARE INEQUALITY IN A RIEMANNIAN MANIFOLD", 대한수학회논문집, 29(1), pp.123~130 (2014), 대한수학회
22. Keomkyo Seo, "Liouville-type theorems for weighted p-harmonic 1-forms and weighted p-harmonic maps", Pacific Journal of Mathematics, 305(1), pp.291~310 (2020), Mathematical Sciences Publishers[DOI]
23. Ying Shen, "On stable minimal surfaces in manifolds of positive bi-Ricci curvatures", Duke Mathematical Journal, 85(1) (1996), Duke University Press[DOI]
24. Matheus Vieira, "Harmonic forms on manifolds with non-negative Bakry–Émery–Ricci curvature", Archiv der Mathematik, 101(6), pp.581~590 (2013), Springer Science and Business Media LLC[DOI]
25. Matheus Vieira, "Vanishing theorems for L2 harmonic forms on complete Riemannian manifolds", Geometriae Dedicata, 184(1), pp.175~191 (2016), Springer Science and Business Media LLC[DOI]
26. Peijun Wang, "Harmonic p-forms on Hadamard manifolds with finite total curvature", Annals of Global Analysis and Geometry, 54(4), pp.473~487 (2018), Springer Science and Business Media LLC[DOI]
27. Guofang Wei, "Comparison geometry for the Bakry-Emery Ricci tensor", Journal of Differential Geometry, 83(2) (2009), International Press of Boston[DOI]
28. Jia-Yong Wu, "Lp-Liouville theorems on complete smooth metric measure spaces", Bulletin des Sciences Mathématiques, 138(4), pp.510~539 (2014), Elsevier BV[DOI]
29. Gabjin Yun, "Weighted volume growth and vanishing properties of f-minimal hypersurfaces in a weighted manifold", Nonlinear Analysis, 180, pp.264~283 (2019), Elsevier BV[DOI]

관련 논문AI추천