Dotsenko, Vladimir; Shadrin, Sergey; Vallette, Bruno Maurer-Cartan methods in deformation theory. The twisting procedure. (English) Zbl 1526.53001 London Mathematical Society Lecture Note Series 488. Cambridge: Cambridge University Press (ISBN 978-1-108-96564-4/pbk; 978-1-108-96380-0/ebook). viii, 177 p. (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 53-02 58-02 53C07 58A15 58A10 58A30 58A12 57R22 16E45 18G85 18M70 14F40 PDFBibTeX XMLCite \textit{V. Dotsenko} et al., Maurer-Cartan methods in deformation theory. The twisting procedure. Cambridge: Cambridge University Press (2024; Zbl 1526.53001) Full Text: DOI arXiv
Li, Hongfeng; Wu, Tong; Wang, Yong Statistical de Rham Hodge operators and general Kastler-Kalau-Walze type theorems for manifolds with boundary. (English) Zbl 07762282 J. Pseudo-Differ. Oper. Appl. 14, No. 4, Paper No. 68, 22 p. (2023). MSC: 53B12 58J42 46L87 PDFBibTeX XMLCite \textit{H. Li} et al., J. Pseudo-Differ. Oper. Appl. 14, No. 4, Paper No. 68, 22 p. (2023; Zbl 07762282) Full Text: DOI
Gol’dshtein, Vladimir; Panenko, Roman A Lipschitz version of de Rham theorem for \(L_p\)-cohomology. (English) Zbl 1523.58002 Trans. A. Razmadze Math. Inst. 177, No. 2, 189-204 (2023). Reviewer: Savin Treanţă (Bucureşti) MSC: 58A12 58A15 53C65 57Q05 57R12 51F30 46E30 PDFBibTeX XMLCite \textit{V. Gol'dshtein} and \textit{R. Panenko}, Trans. A. Razmadze Math. Inst. 177, No. 2, 189--204 (2023; Zbl 1523.58002) Full Text: arXiv Link
Hanisch, Florian; Ludewig, Matthias A rigorous construction of the supersymmetric path integral associated to a compact spin manifold. (English) Zbl 1490.58011 Commun. Math. Phys. 391, No. 3, 1209-1239 (2022). Reviewer: Shu-Yu Hsu (Chiayi) MSC: 58J20 58J65 58J35 58A12 57R20 53C27 PDFBibTeX XMLCite \textit{F. Hanisch} and \textit{M. Ludewig}, Commun. Math. Phys. 391, No. 3, 1209--1239 (2022; Zbl 1490.58011) Full Text: DOI arXiv
Huang, Teng On \(L^2\)-harmonic forms of complete almost Kähler manifold. (English) Zbl 1483.53047 J. Geom. Anal. 32, No. 1, Paper No. 20, 21 p. (2022). MSC: 53C15 53D05 58A10 58A12 PDFBibTeX XMLCite \textit{T. Huang}, J. Geom. Anal. 32, No. 1, Paper No. 20, 21 p. (2022; Zbl 1483.53047) Full Text: DOI arXiv
Grochowski, Marek A de Rham decomposition type theorem for contact sub-Riemannian manifolds. (English) Zbl 1483.53054 Anal. Math. Phys. 12, No. 1, Paper No. 13, 22 p. (2022). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 58A12 PDFBibTeX XMLCite \textit{M. Grochowski}, Anal. Math. Phys. 12, No. 1, Paper No. 13, 22 p. (2022; Zbl 1483.53054) Full Text: DOI
Wei, Sining; Wang, Yong Statistical de Rham Hodge operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary. (English) Zbl 1497.53039 J. Nonlinear Math. Phys. 28, No. 2, 254-275 (2021). MSC: 53B12 58J42 53B20 53B21 PDFBibTeX XMLCite \textit{S. Wei} and \textit{Y. Wang}, J. Nonlinear Math. Phys. 28, No. 2, 254--275 (2021; Zbl 1497.53039) Full Text: DOI arXiv
de Cataldo, Mark Andrea A.; Rapagnetta, Antonio; Saccà, Giulia The Hodge numbers of O’Grady 10 via Ngô strings. (English. French summary) Zbl 1483.14071 J. Math. Pures Appl. (9) 156, 125-178 (2021). Reviewer: Andrea Galasso (Taipei) MSC: 14J40 14F40 14F45 14J42 53C55 PDFBibTeX XMLCite \textit{M. A. A. de Cataldo} et al., J. Math. Pures Appl. (9) 156, 125--178 (2021; Zbl 1483.14071) Full Text: DOI arXiv
Calviño-Louzao, Esteban; García-Río, Eduardo; Gilkey, Peter; Park, JeongHyeong; Vázquez-Lorenzo, Ramón Aspects of differential geometry V. (English) Zbl 1472.53001 Synthesis Lectures on Mathematics and Statistics 41. San Rafael, CA: Morgan & Claypool Publishers (ISBN 978-1-63639-112-0/hbk; 978-1-63639-110-6/pbk; 978-1-63639-111-3/ebook). xvi, 140 p. (2021). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53-01 53C20 53C22 58A05 26B99 PDFBibTeX XMLCite \textit{E. Calviño-Louzao} et al., Aspects of differential geometry V. San Rafael, CA: Morgan \& Claypool Publishers (2021; Zbl 1472.53001) Full Text: DOI
Gorodski, Claudio Smooth manifolds. (English) Zbl 1459.53001 Compact Textbooks in Mathematics. Cham: Birkhäuser (ISBN 978-3-030-49774-3/pbk; 978-3-030-49775-0/ebook). xii, 154 p. (2020). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53-01 22E15 53B20 53B30 58A12 58A30 PDFBibTeX XMLCite \textit{C. Gorodski}, Smooth manifolds. Cham: Birkhäuser (2020; Zbl 1459.53001) Full Text: DOI
Rollenske, Sönke; Tomassini, Adriano; Wang, Xu Vertical-horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles. (English) Zbl 1455.53051 Ann. Mat. Pura Appl. (4) 199, No. 3, 833-862 (2020). Reviewer: James Hebda (St. Louis) MSC: 53C12 53C25 53C55 PDFBibTeX XMLCite \textit{S. Rollenske} et al., Ann. Mat. Pura Appl. (4) 199, No. 3, 833--862 (2020; Zbl 1455.53051) Full Text: DOI
Takahashi, Junya \(L^2\)-harmonic forms on incomplete Riemannian manifolds with positive Ricci curvature. (English) Zbl 1515.53033 Mathematics 6, No. 5, Paper No. 75, 11 p. (2018). MSC: 53C20 58A14 58A12 PDFBibTeX XMLCite \textit{J. Takahashi}, Mathematics 6, No. 5, Paper No. 75, 11 p. (2018; Zbl 1515.53033) Full Text: DOI
Ballmann, Werner Introduction to geometry and topology. Translated from the German by Walker Stern. (English) Zbl 1404.58001 Compact Textbooks in Mathematics. Cham: Birkhäuser (ISBN 978-3-0348-0982-5/pbk; 978-3-0348-0983-2/ebook). x, 169 p. (2018). Reviewer: David B. Gauld (Auckland) MSC: 58-01 53-01 53A04 53A05 53A07 53C22 57-01 57R19 57R25 58A05 58A10 58A12 58C35 PDFBibTeX XMLCite \textit{W. Ballmann}, Introduction to geometry and topology. Translated from the German by Walker Stern. Cham: Birkhäuser (2018; Zbl 1404.58001) Full Text: DOI
Calviño-Louzao, Esteban; García-Río, Eduardo; Gilkey, Peter; Park, JeongHyeong; Vázquez-Lorenzo, Ramón Aspects of differential geometry. III. (English) Zbl 1371.53001 Synthesis Lectures on Mathematics and Statistics 18. San Rafael, CA: Morgan & Claypool Publishers (ISBN 978-1-62705-686-1/pbk). xiii, 145 p. (2017). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53-01 53C20 53C22 58A05 26B99 PDFBibTeX XMLCite \textit{E. Calviño-Louzao} et al., Aspects of differential geometry. III. San Rafael, CA: Morgan \& Claypool Publishers (2017; Zbl 1371.53001) Full Text: DOI
Tojeiro, Ruy A decomposition theorem for immersions of product manifolds. (English) Zbl 1344.53015 Proc. Edinb. Math. Soc., II. Ser. 59, No. 1, 247-269 (2016). Reviewer: Yun Myung Oh (Berrien Springs) MSC: 53B25 53C40 PDFBibTeX XMLCite \textit{R. Tojeiro}, Proc. Edinb. Math. Soc., II. Ser. 59, No. 1, 247--269 (2016; Zbl 1344.53015) Full Text: DOI arXiv
Cano García, Leonardo A. From vector calculus to some aspects of modern geometry. (Spanish. English summary) Zbl 1381.26014 Lect. Mat. 36, No. 2, 135-166 (2015). MSC: 26B12 53-01 PDFBibTeX XMLCite \textit{L. A. Cano García}, Lect. Mat. 36, No. 2, 135--166 (2015; Zbl 1381.26014)
Cappelletti-Montano, Beniamino; de Nicola, Antonio; Yudin, Ivan Hard Lefschetz theorem for Sasakian manifolds. (English) Zbl 1322.58002 J. Differ. Geom. 101, No. 1, 47-66 (2015). Reviewer: Constantin Călin (Iaşi) MSC: 58A12 53C25 58A10 58C40 PDFBibTeX XMLCite \textit{B. Cappelletti-Montano} et al., J. Differ. Geom. 101, No. 1, 47--66 (2015; Zbl 1322.58002) Full Text: DOI arXiv Euclid
Nakahara, Mikio Geometry, topology and physics. Translated from the English by Matthias Delbrück. 2nd ed. (Differentialgeometrie, Topologie und Physik.) (German) Zbl 1321.53002 Heidelberg: Springer Spektrum (ISBN 978-3-662-45299-8/pbk; 978-3-662-45300-1/ebook). xxii, 597 p. (2015). Reviewer: Vladimir Dzhunushaliev (Almaty) MSC: 53-01 57-01 81Txx 83Cxx 53C07 PDFBibTeX XMLCite \textit{M. Nakahara}, Differentialgeometrie, Topologie und Physik. 2nd ed. Heidelberg: Springer Spektrum (2015; Zbl 1321.53002) Full Text: DOI
Gilkey, Peter; Park, JeongHyeong; Vázquez-Lorenzo, Ramón Aspects of differential geometry II. (English) Zbl 1354.53002 Synthesis Lectures on Mathematics and Statistics 16. San Rafael, CA: Morgan & Claypool Publishers (ISBN 978-1-62705-783-7/pbk; 978-1-62705-784-4/ebook). xiii, 143 p. (2015). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53-01 53C20 53C22 58A05 26B99 PDFBibTeX XMLCite \textit{P. Gilkey} et al., Aspects of differential geometry II. San Rafael, CA: Morgan \& Claypool Publishers (2015; Zbl 1354.53002) Full Text: DOI
Ballmann, Werner Introduction to geometry and topology. (Einführung in die Geometrie und Topologie.) (German) Zbl 1322.57001 Mathematik Kompakt. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0900-9/pbk; 978-3-0348-0901-6/ebook). x, 162 p. (2015). Reviewer: Werner M. Seiler (Kassel) MSC: 57-01 57N45 54-01 55-01 53-01 53A04 53A07 58-01 58A05 58A10 58A12 PDFBibTeX XMLCite \textit{W. Ballmann}, Einführung in die Geometrie und Topologie. Basel: Birkhäuser/Springer (2015; Zbl 1322.57001) Full Text: DOI
Köhler, Kai Differential geometry and homogeneous spaces. (Differentialgeometrie und homogene Räume.) (German) Zbl 1306.53002 Wiesbaden: Springer Spektrum (ISBN 978-3-8348-1569-9/pbk; 978-3-8348-8313-1/ebook). x, 240 p. (2014). Reviewer: Corina Mohorianu (Iaşi) MSC: 53-01 53C21 53C20 58A05 PDFBibTeX XMLCite \textit{K. Köhler}, Differentialgeometrie und homogene Räume. Wiesbaden: Springer Spektrum (2014; Zbl 1306.53002) Full Text: DOI
Lee, John M. Introduction to smooth manifolds. 2nd revised ed. (English) Zbl 1258.53002 Graduate Texts in Mathematics 218. New York, NY: Springer (ISBN 978-1-4419-9981-8/hbk; 978-1-4419-9982-5/ebook). xvi, 708 p. (2013). Reviewer: Corina Mohorianu (Iaşi) MSC: 53-01 53-02 58-02 57-02 53Cxx 57Rxx 58Axx PDFBibTeX XMLCite \textit{J. M. Lee}, Introduction to smooth manifolds. 2nd revised ed. New York, NY: Springer (2013; Zbl 1258.53002) Full Text: DOI Link
Onninen, Jani; Pankka, Pekka Slow mappings of finite distortion. (English) Zbl 1278.30027 Math. Ann. 354, No. 2, 685-705 (2012). Reviewer: Vesna Manojlovic (Belgrade) MSC: 30C65 53C21 58A12 PDFBibTeX XMLCite \textit{J. Onninen} and \textit{P. Pankka}, Math. Ann. 354, No. 2, 685--705 (2012; Zbl 1278.30027) Full Text: DOI
Gol’dshtein, Vladimir; Troyanov, Marc A short proof of the Hölder-Poincaré duality for \(L_p\)-cohomology. (English) Zbl 1225.58004 Rend. Semin. Mat. Univ. Padova 124, 179-184 (2010). Reviewer: Vagn Lundsgaard Hansen (Lyngby) MSC: 58A10 58A12 53C20 PDFBibTeX XMLCite \textit{V. Gol'dshtein} and \textit{M. Troyanov}, Rend. Semin. Mat. Univ. Padova 124, 179--184 (2010; Zbl 1225.58004) Full Text: DOI arXiv EuDML Link
Lee, Jeffrey M. Manifolds and differential geometry. (English) Zbl 1190.58001 Graduate Studies in Mathematics 107. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4815-9/hbk). xiv, 671 p. (2009). Reviewer: Miroslav Doupovec (Brno) MSC: 58A05 58A10 53C05 22E15 53C20 53B30 55R10 53Z05 58-01 53-01 PDFBibTeX XMLCite \textit{J. M. Lee}, Manifolds and differential geometry. Providence, RI: American Mathematical Society (AMS) (2009; Zbl 1190.58001)
Pak, Hong Kyung Transversal harmonic theory for transversally symplectic flows. (English) Zbl 1145.53062 J. Aust. Math. Soc. 84, No. 2, 233-245 (2008). MSC: 53D05 57R30 58A12 PDFBibTeX XMLCite \textit{H. K. Pak}, J. Aust. Math. Soc. 84, No. 2, 233--245 (2008; Zbl 1145.53062) Full Text: DOI
Foertsch, Thomas; Lytchak, Alexander The de Rham decomposition theorem for metric spaces. (English) Zbl 1159.53026 Geom. Funct. Anal. 18, No. 1, 120-143 (2008). Reviewer: Maria Falcitelli (Bari) MSC: 53C70 53C20 53C23 PDFBibTeX XMLCite \textit{T. Foertsch} and \textit{A. Lytchak}, Geom. Funct. Anal. 18, No. 1, 120--143 (2008; Zbl 1159.53026) Full Text: DOI arXiv
Novikov, S. P.; Taimanov, I. A. Modern geometric structures and fields. Transl. from the Russian by D. Chibisov. (English) Zbl 1108.53001 Graduate Studies in Mathematics 71. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3929-2/hbk). xx, 633 p. (2006). Reviewer: Hubert Gollek (Berlin) MSC: 53-01 57-01 53C20 53C80 53D17 83C05 70H25 53C07 53C27 PDFBibTeX XMLCite \textit{S. P. Novikov} and \textit{I. A. Taimanov}, Modern geometric structures and fields. Transl. from the Russian by D. Chibisov. Providence, RI: American Mathematical Society (AMS) (2006; Zbl 1108.53001)
Walschap, Gerard Metric structures in differential geometry. (English) Zbl 1083.53002 Graduate Texts in Mathematics 224. New York, NY: Springer (ISBN 0-387-20430-X/hbk). viii, 226 p. (2004). Reviewer: Stere Ianus (Bucureşti) MSC: 53-01 57-01 53C20 53C21 PDFBibTeX XMLCite \textit{G. Walschap}, Metric structures in differential geometry. New York, NY: Springer (2004; Zbl 1083.53002)
Di Scala, Antonio J. Autoparallel distributions and splitting theorems. (English) Zbl 1074.53026 Tsukuba J. Math. 27, No. 1, 99-102 (2003). MSC: 53C20 53C30 PDFBibTeX XMLCite \textit{A. J. Di Scala}, Tsukuba J. Math. 27, No. 1, 99--102 (2003; Zbl 1074.53026) Full Text: DOI
Zhong, Tongde; Zhong, Chunping Bochner technique in real Finsler manifolds. (English) Zbl 1041.53047 Acta Math. Sci., Ser. B, Engl. Ed. 23, No. 2, 165-177 (2003). Reviewer: I. Čomić (Novi Sad) MSC: 53C60 58A12 58A14 58B20 PDFBibTeX XMLCite \textit{T. Zhong} and \textit{C. Zhong}, Acta Math. Sci., Ser. B, Engl. Ed. 23, No. 2, 165--177 (2003; Zbl 1041.53047) Full Text: DOI
Jänich, Klaus Vector analysis. 4. Aufl. (Vektoranalysis.) (German) Zbl 1026.58001 Springer-Lehrbuch. Berlin: Springer. xii, 275 S. (2003). MSC: 58-01 58A05 53C20 58A15 58A10 58C35 58A12 PDFBibTeX XMLCite \textit{K. Jänich}, Vektoranalysis. 4. Aufl. Berlin: Springer (2003; Zbl 1026.58001)
Lee, John M. Introduction to smooth manifolds. (English) Zbl 1030.53001 Graduate Texts in Mathematics. 218. New York, NY: Springer. xvii, 628 p. (2002). Reviewer: Mircea Craioveanu (Timisoara) MSC: 53-02 58-02 57-02 53Cxx 57Rxx 58Axx PDFBibTeX XMLCite \textit{J. M. Lee}, Introduction to smooth manifolds. New York, NY: Springer (2002; Zbl 1030.53001) Backlinks: MO
Oproiu, Vasile Differential geometry. (Geometrie diferenţială.) (Romanian) Zbl 1032.53001 Iaşi: Editura Universităţii “Alexandru Ioan Cuza”. 267 p. (2002). Reviewer: Valentin Boju (Montreal) MSC: 53-01 53Bxx 53Cxx PDFBibTeX XMLCite \textit{V. Oproiu}, Geometrie diferenţială (Romanian). Iaşi: Editura Universităţii ``Alexandru Ioan Cuza'' (2002; Zbl 1032.53001)
Storch, Uwe; Wiebe, Hartmut Textbook of mathematics. Vol. 4: Analysis on manifolds, function theory, functional analysis. (Lehrbuch der Mathematik. Band 4: Analysis auf Mannigfaltigkeiten, Funktionentheorie, Funktionalanalysis.) (German) Zbl 0953.00001 Heidelberg: Spektrum Akademischer Verlag. 889 S. (2001). Reviewer: Rabe von Randow (Bonn) MSC: 00A05 00A06 30-01 58-01 46-01 53-01 PDFBibTeX XMLCite \textit{U. Storch} and \textit{H. Wiebe}, Lehrbuch der Mathematik. Band 4: Analysis auf Mannigfaltigkeiten, Funktionentheorie, Funktionalanalysis. Heidelberg: Spektrum Akademischer Verlag (2001; Zbl 0953.00001)
Craioveanu, Mircea; Puta, Mircea; Rassias, Themistocles M. Old and new aspects in spectral geometry. (English) Zbl 0987.58013 Mathematics and its Applications (Dordrecht). 534. Dordrecht: Kluwer Academic Publishers. ix, 445 p. (2001). Reviewer: Peter B.Gilkey (Eugene) MSC: 58J50 58-02 53C20 53-02 PDFBibTeX XMLCite \textit{M. Craioveanu} et al., Old and new aspects in spectral geometry. Dordrecht: Kluwer Academic Publishers (2001; Zbl 0987.58013)
Jänich, Klaus Vector analysis. Transl. from the German by Leslie Kay. (English) Zbl 0964.58001 Undergraduate Texts in Mathematics. New York, NY: Springer. xiv, 281 p. (2001). MSC: 58-01 58A05 53C20 58A15 58A10 58C35 58A12 PDFBibTeX XMLCite \textit{K. Jänich}, Vector analysis. Transl. from the German by Leslie Kay. New York, NY: Springer (2001; Zbl 0964.58001)
Jänich, Klaus Vector analysis. 3. Aufl. (Vektoranalysis.) (German) Zbl 0964.58002 Springer-Lehrbuch. Berlin: Springer. xii, 275 S. (2001). MSC: 58-01 58A05 53C20 58A15 58A10 58C35 58A12 PDFBibTeX XMLCite \textit{K. Jänich}, Vektoranalysis. 3. Aufl. Berlin: Springer (2001; Zbl 0964.58002)
Aminov, Yu. The geometry of vector fields. Translated from the Russian by A. Yampol’ski. (English) Zbl 0965.53002 Amsterdam: Gordon and Breach Publishers. xiv, 172 p. (2000). MSC: 53-02 57R30 53A05 53B20 53A45 PDFBibTeX XMLCite \textit{Yu. Aminov}, The geometry of vector fields. Translated from the Russian by A. Yampol'ski. Amsterdam: Gordon and Breach Publishers (2000; Zbl 0965.53002)
Bott, R. An introduction to equivariant cohomology. (English) Zbl 0970.55003 DeWitt-Morette, Cécile (ed.) et al., Quantum field theory: perspective and prospective. Proceedings of the NATO ASI, held in Les Houches, France, June 15-26, 1998. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 530, 35-56 (1999). Reviewer: A.Akutowicz (Berlin) MSC: 55N91 55-01 53D20 58A12 PDFBibTeX XMLCite \textit{R. Bott}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 530, 35--56 (1999; Zbl 0970.55003)
Cao, Huai-Dong; Zhou, Jian On quantum de Rham cohomology theory. (English) Zbl 0926.53033 Electron. Res. Announc. Am. Math. Soc. 5, No. 4, 24-34 (1999). MSC: 53D17 81R05 53D35 53D50 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{J. Zhou}, Electron. Res. Announc. Am. Math. Soc. 5, No. 4, 24--34 (1999; Zbl 0926.53033) Full Text: DOI arXiv EuDML
Fernández, Marisa; Ugarte, Luis Canonical cohomology of compact \(G_2\)-nilmanifolds. (English) Zbl 0978.53063 Gentili, G. (ed.) et al., Quaternionic structures in mathematics and physics. Proceedings of the meeting, Trieste, Italy, September 5-9, 1994. Trieste: International School for Advanced Studies (SISSA), Laboratorio Interdisciplinare per le Scienze Naturali ed Umanistiche, 127-138 (1998). MSC: 53C15 58A12 58A14 53C25 53C10 PDFBibTeX XMLCite \textit{M. Fernández} and \textit{L. Ugarte}, in: Quaternionic structures in mathematics and physics. Proceedings of the meeting, Trieste, Italy, September 5--9, 1994. Trieste: International School for Advanced Studies (SISSA), Laboratorio Interdisciplinare per le Scienze Naturali ed Umanistiche. 127--138 (1998; Zbl 0978.53063) Full Text: EMIS
Domínguez, Demetrio Finiteness and tenseness theorems for Riemannian foliations. (English) Zbl 0964.53019 Am. J. Math. 120, No. 6, 1237-1276 (1998). MSC: 53C12 57R30 58A12 PDFBibTeX XMLCite \textit{D. Domínguez}, Am. J. Math. 120, No. 6, 1237--1276 (1998; Zbl 0964.53019) Full Text: DOI Link
Eschenburg, J.-H.; Heintze, E. Unique decomposition of Riemannian manifolds. (English) Zbl 0936.53025 Proc. Am. Math. Soc. 126, No. 10, 3075-3078 (1998). MSC: 53C20 53C12 PDFBibTeX XMLCite \textit{J. H. Eschenburg} and \textit{E. Heintze}, Proc. Am. Math. Soc. 126, No. 10, 3075--3078 (1998; Zbl 0936.53025) Full Text: DOI
Hou, Bo-Yu; Hou, Bo-Yuan Differential geometry for physicists. (English) Zbl 0896.53001 Advanced Series on Theoretical Physical Science. 6. Singapore: World Scientific. xiii, 546 p. (1997). Reviewer: A.Bucki (Oklahoma City) MSC: 53-01 53Cxx 53Z05 55R10 57R20 58A05 46L85 46L87 58A12 58E15 81T13 PDFBibTeX XMLCite \textit{B.-Y. Hou} and \textit{B.-Y. Hou}, Differential geometry for physicists. Singapore: World Scientific (1997; Zbl 0896.53001)
Narmanov, A. Ya. On the structure of Riemannian manifold with totally geodesic Riemannian foliation. (Russian) Zbl 0955.53017 Dokl. Akad. Nauk Resp. Uzb., Mat. Tekh. Nauki Estestvozn. 1996, No. 8, 12-15 (1996). MSC: 53C12 58A12 53C20 PDFBibTeX XMLCite \textit{A. Ya. Narmanov}, Dokl. Akad. Nauk Resp. Uzb., Mat. Tekh. Nauki Estestvozn. 1996, No. 8, 12--15 (1996; Zbl 0955.53017)
Rumin, Michel Differential forms on contact manifolds. (Formes différentielles sur les variétés de contact.) (French) Zbl 0973.53524 J. Differ. Geom. 39, No. 2, 281-330 (1994). Reviewer: Antonella Nannicini (MR 95g:58221) MSC: 53D10 58A10 53C15 58A12 PDFBibTeX XMLCite \textit{M. Rumin}, J. Differ. Geom. 39, No. 2, 281--330 (1994; Zbl 0973.53524) Full Text: DOI
Positsel’skiĭ, L. E. Nonhomogeneous quadratic duality and curvature. (English. Russian original) Zbl 0826.16041 Funct. Anal. Appl. 27, No. 3, 197-204 (1993); translation from Funkts. Anal. Prilozh. 27, No. 3, 57-66 (1993). Reviewer: Jiří Vanžura (Brno) MSC: 16S37 16E40 18G15 57R20 53C30 16W25 16S15 58A10 17A45 16S32 PDFBibTeX XMLCite \textit{L. E. Positsel'skiĭ}, Funct. Anal. Appl. 27, No. 3, 197--204 (1993; Zbl 0826.16041); translation from Funkts. Anal. Prilozh. 27, No. 3, 57--66 (1993) Full Text: arXiv
Thompson, G. Non-uniqueness of metrics compatible with a symmetric connection. (English) Zbl 0792.53021 Classical Quantum Gravity 10, No. 10, 2035-2045 (1993). Reviewer: G.S.Hall (Aberdeen) MSC: 53C05 53C50 PDFBibTeX XMLCite \textit{G. Thompson}, Classical Quantum Gravity 10, No. 10, 2035--2045 (1993; Zbl 0792.53021) Full Text: DOI
Major, E. I. On the product of affine manifolds and the generalized de Rham splitting theorem. (English) Zbl 0799.53015 Period. Math. Hung. 26, No. 1, 15-30 (1993). Reviewer: M.Anastasiei (Iaşi) MSC: 53B05 PDFBibTeX XMLCite \textit{E. I. Major}, Period. Math. Hung. 26, No. 1, 15--30 (1993; Zbl 0799.53015) Full Text: DOI
Jänich, Klaus Vektoranalysis. Mit 110 Figuren, 120 Testfragen und 52 Übungsaufgaben. 2. Aufl. (German) Zbl 0783.58001 Springer-Lehrbuch. Berlin: Springer-Verlag. xii, 275 p. (1993). MSC: 58-01 58A05 53C20 58A15 58A10 58C35 58A12 PDFBibTeX XMLCite \textit{K. Jänich}, Vektoranalysis. Mit 110 Figuren, 120 Testfragen und 52 Übungsaufgaben. 2. Aufl. Berlin: Springer-Verlag (1993; Zbl 0783.58001)
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. On a problem of Dodziuk. (English. Russian original) Zbl 0812.58004 Proc. Steklov Inst. Math. 193, 77-80 (1993); translation from Tr. Mat. Inst. Steklova 193, 72-75 (1992). Reviewer: C.Bär (Freiburg) MSC: 58A12 53C20 58A10 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., in: Topology and its applications. Proceedings of the International topology conference (Baku, October 3-8, 1987). Providence, RI: American Mathematical Society. 1 (1992; Zbl 0812.58004); translation from Tr. Mat. Inst. Steklova 193, 72--75 (1992)
Postnikov, M. Leçons de géométrie. Variétés différentiables. Traduit du russe par Djilali Embarek. (Lectures in geometry. Differentiable manifolds. Transl. from the Russian by Djilali Embarek.) (French) Zbl 0759.57001 Traduit du Russe: Mathématiques. Moscow: Éditions Mir. 431 p. (1990). Reviewer: J.Kubarski (Łódź) MSC: 57-01 55-01 53-01 58A05 PDFBibTeX XMLCite \textit{M. Postnikov}, Lectures in geometry. Differentiable manifolds. Transl. from the Russian by Djilali Embarek. Moscow: Éditions Mir (1990; Zbl 0759.57001)
Atiyah, M. F.; Jeffrey, L. Topological Lagrangians and cohomology. (English) Zbl 0721.58056 J. Geom. Phys. 7, No. 1, 119-136 (1990). Reviewer: D.Repovš (Ljubljana) MSC: 58J90 58A10 81T13 53C80 PDFBibTeX XMLCite \textit{M. F. Atiyah} and \textit{L. Jeffrey}, J. Geom. Phys. 7, No. 1, 119--136 (1990; Zbl 0721.58056) Full Text: DOI
Aminov, Yu. A. Vector field geometry. (Геометрия векторного поля.) (Russian) Zbl 0724.53004 Moskva: Nauka. 208 p. R. 2.20 (1990). Reviewer: Jack Weinstein (Herzeliyya) MSC: 53-02 53A05 53B20 57R30 53A45 PDFBibTeX XMLCite \textit{Yu. A. Aminov}, Геометрия векторного поля (Russian). Moskva: Nauka (1990; Zbl 0724.53004)
Postnikov, M. Smooth manifolds. Lectures in geometry. Semester III. Transl. from the Russian by Vladimir Shokurov. (English) Zbl 0732.53001 Moskva: Mir. 511 p. (1989). MSC: 53-01 57-01 58-01 PDFBibTeX XMLCite \textit{M. Postnikov}, Smooth manifolds. Lectures in geometry. Semester III. Transl. from the Russian by Vladimir Shokurov. Moscow: Mir (1989; Zbl 0732.53001)
Flanders, Harley Differential forms. (English) Zbl 0683.53011 Global differential geometry, MAA Stud. Math. 27, 27-72 (1989). Reviewer: Bernd Wegner MSC: 53A45 58A10 53-02 PDFBibTeX XML
Shigekawa, Ichiro; Ueki, Naomasa A stochastic approach to the Riemann-Roch theorem. (English) Zbl 0709.58036 Osaka J. Math. 25, No. 4, 759-784 (1988). Reviewer: S.Eloshvili MSC: 58J20 58J10 14C40 58A10 58A12 53C55 32L05 60J65 PDFBibTeX XMLCite \textit{I. Shigekawa} and \textit{N. Ueki}, Osaka J. Math. 25, No. 4, 759--784 (1988; Zbl 0709.58036)
Quillen, Daniel Superconnection character forms and the Cayley transform. (English) Zbl 0671.57013 Topology 27, No. 2, 211-238 (1988). Reviewer: K.H.Mayer MSC: 57R20 55R50 58A12 55R35 55R40 53C05 55R10 PDFBibTeX XMLCite \textit{D. Quillen}, Topology 27, No. 2, 211--238 (1988; Zbl 0671.57013) Full Text: DOI
Currás-Bosch, Carlos The geometry of totally geodesic foliations admitting Killing field. (English) Zbl 0657.53019 Tôhoku Math. J., II. Ser. 40, No. 4, 535-548 (1988). Reviewer: C.Currás-Bosch MSC: 53C12 57R30 37D40 53D25 PDFBibTeX XMLCite \textit{C. Currás-Bosch}, Tôhoku Math. J. (2) 40, No. 4, 535--548 (1988; Zbl 0657.53019) Full Text: DOI
Okubo, Tanjiro Differential geometry. (English) Zbl 0647.53001 Pure and Applied Mathematics, 112. New York-Basel: Marcel Dekker, Inc. xviii+788 p.; $ 125.00 (U.S. & Canada); $ 150.00 (all other countries) (1987). Reviewer: St.Ianus MSC: 53-02 53-01 53C55 58-02 53C20 53C10 22Exx PDFBibTeX XML
Postnikov, M. M. Lectures on geometry. 3rd semester. Smooth manifolds. Textbook. (Lektsii po geometrii. Semestr. III. Gladkie mnogoobraziya. Uchebnoe posobie). (Russian) Zbl 0639.53001 Moskva: Izdatel’stvo “Nauka”. Glavnaya Redaktsiya Fiziko- Matematicheskoj Literatury. 480 p. R. 1.10 (1987). Reviewer: J.Lorenz MSC: 53-01 58-01 57-01 PDFBibTeX XML
Ihrig, Edwin Hodge theory on compact two dimensional spacetimes and the uniqueness of \(g_{ij}\) with a specified \(R_{ij}\). (English) Zbl 0628.53058 Can. J. Math. 39, No. 6, 1459-1474 (1987). MSC: 53C50 PDFBibTeX XMLCite \textit{E. Ihrig}, Can. J. Math. 39, No. 6, 1459--1474 (1987; Zbl 0628.53058) Full Text: DOI
Warner, Frank W. Kirillov, A. A. (ed.) [Voronov, F. F.; Khokhlov, A. V.] Foundations of differentiable manifolds and Lie groups. (Osnovy teorii gladkikh mnogoobrazij i grupp Li). Transl. from the English by F. F. Voronov and A. V. Khokhlov. Transl. ed. and with a preface by A. A. Kirillov. (Osnovy teorii gladkikh mnogoobrazij i grupp Li.) (Russian) Zbl 0691.58005 Moskva: Mir. 304 p. R. 2.30 (1987). MSC: 58-02 53-02 22Exx 55Nxx PDFBibTeX XMLCite \textit{F. W. Warner} and \textit{A. A. Kirillov} (ed.), Osnovy teorii gladkikh mnogoobrazij i grupp Li (Russian). Transl. from the English by F. F. Voronov and A. V. Khokhlov. Transl. ed. and with a preface by A. A. Kirillov. Moskva: Mir (1987; Zbl 0691.58005)
Vinogradov, A. M. Geometry of differential equations, secondary differential calculus and quantum field theory. (English. Russian original) Zbl 0616.58009 Sov. Math. 30, No. 1, 14-25 (1986); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1986, No. 1, 13-21 (1986). Reviewer: H.Kilp MSC: 58C99 81Q99 53C80 35A99 PDFBibTeX XMLCite \textit{A. M. Vinogradov}, Sov. Math. 30, No. 1, 14--25 (1986; Zbl 0616.58009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1986, No. 1, 13--21 (1986)
Ballmann, Werner; Gromov, Mikhael; Schroeder, Viktor Manifolds of nonpositive curvature. (English) Zbl 0591.53001 Progress in Mathematics, 61. Boston-Basel-Stuttgart: Birkhäuser. iv, 263 pp. SFr. 74.00; DM 88.00 (1985). Reviewer: Patrick Eberlein (Chapel Hill) MSC: 53-02 53C20 53C35 PDFBibTeX XML
Quillen, Daniel Superconnections and the Chern character. (English) Zbl 0569.58030 Topology 24, 89-95 (1985). Reviewer: M.Craioveanu MSC: 58J20 53C05 55N15 PDFBibTeX XMLCite \textit{D. Quillen}, Topology 24, 89--95 (1985; Zbl 0569.58030) Full Text: DOI
Kirichenko, V. F. Tangent bundles from the point of view of Hermitian geometry. (English. Russian original) Zbl 0572.53034 Sov. Math. 28, No. 7, 63-74 (1984); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1984, No. 7(266), 50-58 (1984). MSC: 53C15 53C55 PDFBibTeX XMLCite \textit{V. F. Kirichenko}, Sov. Math. 28, No. 7, 63--74 (1984; Zbl 0572.53034); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1984, No. 7(266), 50--58 (1984)
Higa, Tatsuo On a splitting theorem for Riemannian manifolds. (English) Zbl 0553.53023 Comment. Math. Univ. St. Pauli 33, 233-244 (1984). Reviewer: T.Okubo MSC: 53C20 PDFBibTeX XMLCite \textit{T. Higa}, Comment. Math. Univ. St. Pauli 33, 233--244 (1984; Zbl 0553.53023)
Kirichenko, V. F. Generalized Hermitian geometry in a tangent bundle. (Russian. English summary) Zbl 0553.53022 Izv. Akad. Nauk Ehst. SSR, Fiz. Mat. 33, 363-368 (1984). Reviewer: J.Vanžura MSC: 53C15 53C55 PDFBibTeX XMLCite \textit{V. F. Kirichenko}, Izv. Akad. Nauk Èst. SSR, Fiz., Mat. 33, 363--368 (1984; Zbl 0553.53022)
Kirichenko, V. F. Tangent bundle from the point of view of generalized Hermitian geometry. (Russian) Zbl 0553.53021 Izv. Vyssh. Uchebn. Zaved., Mat. 1984, No. 7(266), 50-58 (1984). Reviewer: J.Vanžura MSC: 53C15 53C55 PDFBibTeX XMLCite \textit{V. F. Kirichenko}, Izv. Vyssh. Uchebn. Zaved., Mat. 1984, No. 7(266), 50--58 (1984; Zbl 0553.53021)
Blumenthal, Robert A.; Hebda, James J. Ehresmann connections for foliations. (English) Zbl 0511.57021 Indiana Univ. Math. J. 33, 597-611 (1984). MSC: 57R30 53C05 53C12 53C20 PDFBibTeX XMLCite \textit{R. A. Blumenthal} and \textit{J. J. Hebda}, Indiana Univ. Math. J. 33, 597--611 (1984; Zbl 0511.57021) Full Text: DOI
Warner, Frank W. Foundations of differentiable manifolds and Lie groups. Reprint. (English) Zbl 0516.58001 Graduate Texts in Mathematics, 94. New York etc.: Springer-Verlag. IX, 272 p., 57 figs. DM 58.00; $ 22.50 (1983). MSC: 58-01 22Exx 58Axx 53-02 58C35 55N30 53C30 PDFBibTeX XML Backlinks: MO
Karoubi, Max; Leruste, Christian Méthodes de géométrie différentielle en topologie algébrique. Partie I, II. (French) Zbl 0524.55001 Publications Mathematiques de l’Universite Paris VII, 10. Paris: U.E.R. de Mathematiques & L. A. 212 du C.N.R.S. 288 p. (1982). MSC: 55-01 58-01 53-01 55M05 55M20 55M25 58A05 58A10 58A12 PDFBibTeX XML
Dieudonné, Jean Éléments d’analyse. Tome IX. Chapitre XXIV. (French) Zbl 0485.58001 Cahiers Scientifiques, Fasc. XLII. Publie avec le concours du C. N. R. S. Paris: Gauthier-Villars. XVIII, 380 p. FF 320.00 (1982). MSC: 58-01 55-01 58A12 55Rxx 58A14 58A10 20G10 17B56 57Q05 55N10 53C05 14F40 14H05 58J10 58J20 PDFBibTeX XML
Gilkey, Peter B. Curvature and the heat equation for the de Rham complex. (English) Zbl 0481.58027 Proc. Indian Acad. Sci., Math. Sci. 90, 47-79 (1981). MSC: 58J50 53C20 58J35 58A12 PDFBibTeX XMLCite \textit{P. B. Gilkey}, Proc. Indian Acad. Sci., Math. Sci. 90, 47--79 (1981; Zbl 0481.58027) Full Text: DOI
Eichhorn, Juergen Der de Rhamsche Isomorphiesatz in der \(L_ 2-\)Kategorie für eine Klasse offener Mannigfaltigkeiten. (German) Zbl 0481.58004 Math. Nachr. 97, 7-14 (1980). MSC: 58A12 58J10 53C20 PDFBibTeX XMLCite \textit{J. Eichhorn}, Math. Nachr. 97, 7--14 (1980; Zbl 0481.58004) Full Text: DOI
Takagi, Hitoshi Notes on the cancellation of Riemannian manifolds. (English) Zbl 0459.53032 Tohoku Math. J., II. Ser. 32, 411-417 (1980). MSC: 53C20 PDFBibTeX XMLCite \textit{H. Takagi}, Tôhoku Math. J. (2) 32, 411--417 (1980; Zbl 0459.53032) Full Text: DOI
Crumeyrolle, Albert Indice d’inertie trilatere et classes de Chern. (French) Zbl 0483.53037 Stud. Sci. Math. Hung. 13, 259-271 (1978). MSC: 53C15 57R20 PDFBibTeX XMLCite \textit{A. Crumeyrolle}, Stud. Sci. Math. Hung. 13, 259--271 (1978; Zbl 0483.53037)
Hiepko, Sönke Einige Beiträge zur Theorie sphärischer Blätterungen. (German) Zbl 0407.57021 Mathematisch-Naturwissenschaftliche Fakultät der Universität zu Köln. 55 S. (1978). MSC: 57R30 53C99 PDFBibTeX XML