Zhang, Siyi Some conformally invariant gap theorems for Bach-flat 4-manifolds. (English) Zbl 1472.53043 Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 151, 18 p. (2021). MSC: 53C18 53C21 53C24 PDFBibTeX XMLCite \textit{S. Zhang}, Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 151, 18 p. (2021; Zbl 1472.53043) Full Text: DOI arXiv
Leitner, Felipe The first eigenvalue of the Kohn-Dirac operator on CR manifolds. (English) Zbl 1454.32026 Differ. Geom. Appl. 61, 97-132 (2018). MSC: 32V05 32V20 53C27 53C25 53C55 58C40 PDFBibTeX XMLCite \textit{F. Leitner}, Differ. Geom. Appl. 61, 97--132 (2018; Zbl 1454.32026) Full Text: DOI
Baudoin, Fabrice Sub-Laplacians and hypoelliptic operators on totally geodesic Riemannian foliations. (English) Zbl 1379.53035 Barilari, Davide (ed.) et al., Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume I. Lecture notes from the IHP Trimester, Institut Henri Poincaré, Paris, France and from the CIRM summer school “Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion”, Luminy, France, Fall 2014. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-162-0/pbk; 978-3-03719-662-5/ebook). EMS Series of Lectures in Mathematics, 259-321 (2016). MSC: 53C12 35H10 53-02 PDFBibTeX XMLCite \textit{F. Baudoin}, in: Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume I. Lecture notes from the IHP Trimester, Institut Henri Poincaré, Paris, France and from the CIRM summer school ``Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion'', Luminy, France, Fall 2014. Zürich: European Mathematical Society (EMS). 259--321 (2016; Zbl 1379.53035) Full Text: arXiv
Homma, Yasushi Twisted Dirac operators and generalized gradients. (English) Zbl 1355.53044 Ann. Global Anal. Geom. 50, No. 2, 101-127 (2016). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 53C27 58C40 53A55 PDFBibTeX XMLCite \textit{Y. Homma}, Ann. Global Anal. Geom. 50, No. 2, 101--127 (2016; Zbl 1355.53044) Full Text: DOI
Balcerzak, Bogdan; Pierzchalski, Antoni Generalized gradients on Lie algebroids. (English) Zbl 1301.58008 Ann. Global Anal. Geom. 44, No. 3, 319-337 (2013). Reviewer: Laiachi El Kaoutit (Ceuta) MSC: 58H05 17B10 17B66 53C05 58A10 PDFBibTeX XMLCite \textit{B. Balcerzak} and \textit{A. Pierzchalski}, Ann. Global Anal. Geom. 44, No. 3, 319--337 (2013; Zbl 1301.58008) Full Text: DOI OA License
Semmelmann, Uwe; Weingart, Gregor The Weitzenböck machine. (English) Zbl 1188.53019 Compos. Math. 146, No. 2, 507-540 (2010). Reviewer: Peter B. Gilkey (Eugene) MSC: 53B20 58J60 17B35 53C29 PDFBibTeX XMLCite \textit{U. Semmelmann} and \textit{G. Weingart}, Compos. Math. 146, No. 2, 507--540 (2010; Zbl 1188.53019) Full Text: DOI arXiv
Yang, Ling A structure theorem of Dirac-harmonic maps between spheres. (English) Zbl 1177.58015 Calc. Var. Partial Differ. Equ. 35, No. 4, 409-420 (2009). Reviewer: Vladimir Balan (Bucureşti) MSC: 58E20 53C27 PDFBibTeX XMLCite \textit{L. Yang}, Calc. Var. Partial Differ. Equ. 35, No. 4, 409--420 (2009; Zbl 1177.58015) Full Text: DOI arXiv OA License
Cho, Yong Seung Scalar curvature in Seiberg-Witten theory. (English) Zbl 1157.53329 Suh, Young Jin (ed.) et al., Proceedings of the 10th international workshop on differential geometry, Taegu, Korea, November 10–11, 2005. Taegu: Kyungpook National University. 177-182 (2006). MSC: 53C20 57R57 PDFBibTeX XMLCite \textit{Y. S. Cho}, in: Proceedings of the 10th international workshop on differential geometry, Taegu, Korea, November 10--11, 2005. Taegu: Kyungpook National University. 177--182 (2006; Zbl 1157.53329)
Homma, Yasushi Estimating the eigenvalues on quaternionic Kähler manifolds. (English) Zbl 1096.58011 Int. J. Math. 17, No. 6, 665-691 (2006). MSC: 58J60 17B35 53C26 PDFBibTeX XMLCite \textit{Y. Homma}, Int. J. Math. 17, No. 6, 665--691 (2006; Zbl 1096.58011) Full Text: DOI arXiv
Homma, Yasushi Bochner-Weitzenböck formulas and curvature actions on Riemannian manifolds. (English) Zbl 1079.53026 Trans. Am. Math. Soc. 358, No. 1, 87-114 (2006). Reviewer: Cihan Özgür (Balikesir) MSC: 53B20 58J60 17B35 PDFBibTeX XMLCite \textit{Y. Homma}, Trans. Am. Math. Soc. 358, No. 1, 87--114 (2006; Zbl 1079.53026) Full Text: DOI arXiv
Stepanov, S. E. Vanishing theorems in affine, Riemannian, and Lorentz geometries. (Russian, English) Zbl 1073.58025 Fundam. Prikl. Mat. 11, No. 1, 35-84 (2005); translation in J. Math. Sci., New York 141, No. 1, 929-964 (2007). Reviewer: Alexander E. Guterman (Moskva) MSC: 58J60 53C20 PDFBibTeX XMLCite \textit{S. E. Stepanov}, Fundam. Prikl. Mat. 11, No. 1, 35--84 (2005; Zbl 1073.58025); translation in J. Math. Sci., New York 141, No. 1, 929--964 (2007)
Friedrich, Thomas; Kirchberg, Klaus-Dieter Eigenvalue estimates of the Dirac operator depending on the Ricci tensor. (English) Zbl 1033.53040 Math. Ann. 324, No. 4, 799-816 (2002). Reviewer: Mircea Craioveanu (Timişoara) MSC: 53C27 53C25 58J50 PDFBibTeX XMLCite \textit{T. Friedrich} and \textit{K.-D. Kirchberg}, Math. Ann. 324, No. 4, 799--816 (2002; Zbl 1033.53040) Full Text: DOI arXiv
Petersen, Peter; Sprouse, Chadwick Eigenvalue pinching for Riemannian vector bundles. (English) Zbl 0944.58024 J. Reine Angew. Math. 511, 73-86 (1999). Reviewer: Peter Gilkey (Eugene) MSC: 58J50 PDFBibTeX XMLCite \textit{P. Petersen} and \textit{C. Sprouse}, J. Reine Angew. Math. 511, 73--86 (1999; Zbl 0944.58024) Full Text: DOI
Bär, Christian The Dirac fundamental tone of the hyperbolic space. (English) Zbl 0757.53020 Geom. Dedicata 41, No. 1, 103-107 (1992). Reviewer: R.Sulanke (Berlin) MSC: 53C20 58J50 PDFBibTeX XMLCite \textit{C. Bär}, Geom. Dedicata 41, No. 1, 103--107 (1992; Zbl 0757.53020) Full Text: DOI
Bérard, Pierre H. From vanishing theorems to estimating theorems: The Bochner technique revisited. (English) Zbl 0662.53037 Bull. Am. Math. Soc., New Ser. 19, No. 2, 371-406 (1988). Reviewer: U.Simon MSC: 53C20 58J60 58J35 53-02 58-02 58J50 PDFBibTeX XMLCite \textit{P. H. Bérard}, Bull. Am. Math. Soc., New Ser. 19, No. 2, 371--406 (1988; Zbl 0662.53037) Full Text: DOI
Besse, Arthur L. Einstein manifolds. (English) Zbl 0613.53001 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge, Bd. 10. Berlin etc.: Springer-Verlag. XII, 510 p. (1987). Reviewer: A.Derdzinski MSC: 53-02 53C25 53C55 53C30 58J60 53C20 PDFBibTeX XML Backlinks: MO MO
Naveira, A. M.; Rocamora, A. H. A geometrical obstruction to the existence of two totally umbilical complementary foliations in compact manifolds. (English) Zbl 0571.53024 Differential geometric methods in mathematical physics, Proc. Int. Conf., Clausthal/Ger. 1983, Lect. Notes Math. 1139, 263-279 (1985). Reviewer: J.Hebda MSC: 53C12 53C15 53C20 PDFBibTeX XML
Freed, Daniel S.; Uhlenbeck, Karen K. Instantons and four-manifolds. (English) Zbl 0559.57001 Mathematical Sciences Research Institute Publications, Vol. 1. New York etc.: Springer-Verlag. X, 232 p. DM 48.00; $ 17.50 (1984). Reviewer: J.-P.Bourguignon MSC: 57-02 58-02 53-02 53C05 57N13 57R19 11E16 58J10 58J20 58D05 58E15 58J60 55R10 55Q45 PDFBibTeX XML
Bourguignon, Jean-Pierre Formules de Weitzenböck en dimension 4. (French) Zbl 0484.53039 Geometrie riemannienne en dimension 4, Semin. Arthur Besse, Paris 1978/79, 308-333 (1981). MSC: 53C21 53C20 53C55 PDFBibTeX XML
Bourguignon, Jean-Pierre Les variétés de dimension 4 à signature non nulle dont la courbure est harmonique sont d’Einstein. (French) Zbl 0456.53033 Invent. Math. 63, 263-286 (1981). MSC: 53C25 58J60 PDFBibTeX XMLCite \textit{J.-P. Bourguignon}, Invent. Math. 63, 263--286 (1981; Zbl 0456.53033) Full Text: DOI EuDML