Affine Transformations in Bundles
This paper is a review of results of studies of affine transformations in generalized spaces over real linear algebras over the past 15-20 years. Keywords and phrases: affine transformation, generalized space over an algebra, smooth manifold, connection, torsion. AMS Subject Classification: 53B15
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| Published in | Journal of mathematical sciences (New York, N.Y.) Vol. 245; no. 5; pp. 601 - 643 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
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04.03.2020
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| Abstract | This paper is a review of results of studies of affine transformations in generalized spaces over real linear algebras over the past 15-20 years. Keywords and phrases: affine transformation, generalized space over an algebra, smooth manifold, connection, torsion. AMS Subject Classification: 53B15 |
|---|---|
| AbstractList | This paper is a review of results of studies of affine transformations in generalized spaces over real linear algebras over the past 15-20 years. This paper is a review of results of studies of affine transformations in generalized spaces over real linear algebras over the past 15-20 years. Keywords and phrases: affine transformation, generalized space over an algebra, smooth manifold, connection, torsion. AMS Subject Classification: 53B15 |
| Audience | Academic |
| Author | Monakhova, O. A. Sultanov, A. Ya |
| Author_xml | – sequence: 1 givenname: A. Ya surname: Sultanov fullname: Sultanov, A. Ya email: sultanovaya@rambler.ru organization: V. G. Belinsky Pedagogical Institute of the Penza State University – sequence: 2 givenname: O. A. surname: Monakhova fullname: Monakhova, O. A. organization: V. G. Belinsky Pedagogical Institute of the Penza State University |
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| Cites_doi | 10.4064/ap92-1-2 10.1007/s11401-011-0646-3 10.4213/mzm4994 10.4310/jdg/1214433720 10.4064/cm114-1-1 10.1007/s00009-009-0001-z 10.4134/JKMS.2008.45.2.367 10.1017/S0027763000007339 10.4064/ap103-3-3 10.5817/AM2013-5-303 10.1016/j.difgeo.2014.01.009 10.5817/AM2014-5-317 10.1007/s10958-010-0049-0 10.1007/s10958-010-0053-4 10.1007/s12044-015-0221-z 10.2298/FIL0701113A 10.1007/s10958-010-0051-6 |
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| References | Monakhova (CR68) 2010; 41 Sultanova (CR162) 2014; 1 Sultanov, Sultanova (CR160) 2003; 34 Monakhova (CR64) 2005; 147 CR39 CR38 CR161 CR37 Sultanov (CR155) 2011; 1 Monakhova (CR59) 2002; 33 Laptev (CR49) 1958; 118 Shurygin (CR108) 2009; 151 CR156 Manina (CR52) 2010; 22 Kolář (CR43) 2013; 49 Salimov (CR89) 1994; 3 Gezer, Salimov (CR36) 2011; 2 Gezer, Altunbas (CR32) 2014; 43 CR173 Kam-Ping (CR56) 1979; 8 CR172 CR48 CR47 CR46 CR44 CR42 CR168 Shirokov (CR103) 1974; 5 Dȩbecki (CR13) 2007; 92 CR40 CR166 CR167 Vishnevsky (CR170) 1988 Sultanova (CR165) 2016; 16 Aminova (CR1) 1974; 6 Kolář (CR41) 2000; 158 Salimov (CR88) 1984; 16 CR140 Nikitina, Sultanov (CR77) 2013; 4 Salimov, Chengiz (CR90) 2003; 11 CR141 Smolyakova (CR111) 2004; 5 Sultanov (CR151) 2009; 151 Budanov, Voevodin (CR9) 2006; 37 Egorov (CR28) 1984; 16 Sultanov (CR147) 2007; 38 Sultanova (CR169) 2002; 33 CR58 CR57 Sultanov (CR138) 2005; 147 Atanasiu, Purcaru (CR6) 2007; 21 CR137 Aminova, Aminov (CR5) 2010; 169 CR53 CR135 CR136 Kolář (CR45) 2014; 50 CR51 CR134 Gainullin, Shurygin (CR30) 2009; 151 CR131 Sultanov (CR154) 2010; 18 Shapukov (CR97) 1981; 9 Sultanov (CR157) 2012; 91 Sultanov (CR119) 1995; 7 Monakhova (CR65) 2006; 37 Monakhova (CR67) 2010; 22 CR150 CR69 Sultanov (CR139) 2005; 36 Magden, Salimov (CR50) 2001; 3 CR66 Monakhova (CR63) 2005; 36 Monakhova (CR60) 2003; 34 CR62 CR144 CR61 Sultanov (CR142) 2006; 37 CR143 Gezer, Salimov (CR34) 2008; 45 Aminova (CR4) 1993; 2 Morimoto (CR73) 1976; 11 Salimov, Gezer, Akbulut (CR92) 2009; 6 Sultanov, Morgun (CR158) 2008; 4 Sultanov (CR118) 1994; 22 Smolyakova (CR110) 2003; 24 Sultanov (CR153) 2010; 18 Sultanov (CR133) 2003; 11 Sultanov (CR132) 2002; 33 Shurygin (CR107) 2010; 169 CR115 Dȩbecki (CR14) 2008; 28 CR76 CR75 CR113 CR74 Salimov, Gezer, Aslanc (CR93) 2011; 35 CR114 Egorov (CR26) 1978; 10 CR112 Sultanov (CR120) 1996; 2 CR71 Salimov, Gezer, Iscan (CR94) 2012; 103 Manina, Sultanov (CR54) 2011; 9 Morgun (CR72) 2007; 38 CR117 Sultanov (CR145) 2006; 5 Opokina (CR80) 2012; 154 CR8 CR130 Sultanov (CR122) 1999; 9 CR126 CR87 CR127 CR86 CR124 CR85 CR125 CR84 CR83 CR123 CR82 CR81 Sultanov, Moshin (CR148) 2007; 31 Atanasiu (CR7) 2006; 11 Shurygin (CR106) 2002 Shapukov (CR95) 1979; 5 CR128 Opokina (CR79) 2006; 11 Sultanov (CR121) 1997; 23 Sultanova (CR164) 2016; 47 Sultanov (CR146) 2007; 4 Aminova (CR3) 1979; 4 CR19 CR18 CR17 CR16 Sultanov (CR116) 1992; 6 CR12 CR11 Miron, Atanasiu (CR55) 1996; 41 CR99 CR10 CR98 Egorov (CR23) 1948; 61 Sultanov (CR152) 2010; 169 Opokina (CR78) 2005; 147 Shapukov (CR96) 1980; 12 Gezer, Altunbas (CR33) 2015; 125 Sultanov (CR129) 2001; 32 Sultanov, Sultanova (CR159) 2014; 156 CR29 Dȩbecki (CR15) 2009; 114 CR27 CR25 CR24 CR22 CR104 CR21 CR105 Aminova (CR2) 1974; 6 CR20 CR102 CR100 Sultanova (CR163) 2015; 46 CR101 Sultanov, Mukhin (CR149) 2007; 31 Morgun (CR70) 2006; 37 Vishnevsky (CR171) 2002 Gezer, Akbulut, Salimov (CR31) 2009; 9 Gezer, Salimov (CR35) 2008; 33 Salimov, Gezer (CR91) 2011; 32 CR109 4713_CR123 4713_CR124 4713_CR125 4713_CR126 4713_CR127 4713_CR128 FR Gainullin (4713_CR30) 2009; 151 J Dȩbecki (4713_CR15) 2009; 114 GA Sultanova (4713_CR162) 2014; 1 NA Opokina (4713_CR80) 2012; 154 4713_CR76 AY Sultanov (4713_CR116) 1992; 6 VV Vishnevsky (4713_CR170) 1988 4713_CR71 VV Vishnevsky (4713_CR171) 2002 4713_CR74 4713_CR75 4713_CR134 4713_CR135 4713_CR136 4713_CR137 I Kolář (4713_CR43) 2013; 49 GA Sultanova (4713_CR163) 2015; 46 4713_CR130 4713_CR131 AY Sultanov (4713_CR155) 2011; 1 AY Sultanov (4713_CR122) 1999; 9 4713_CR66 4713_CR69 BN Shapukov (4713_CR97) 1981; 9 AY Sultanov (4713_CR142) 2006; 37 AV Aminova (4713_CR4) 1993; 2 A Gezer (4713_CR31) 2009; 9 4713_CR61 4713_CR62 4713_CR144 OA Monakhova (4713_CR67) 2010; 22 AV Aminova (4713_CR1) 1974; 6 BL Laptev (4713_CR49) 1958; 118 4713_CR18 M Kam-Ping (4713_CR56) 1979; 8 4713_CR19 4713_CR140 4713_CR141 GA Sultanova (4713_CR165) 2016; 16 AY Sultanov (4713_CR139) 2005; 36 4713_CR143 4713_CR12 AY Sultanov (4713_CR129) 2001; 32 4713_CR10 4713_CR98 AP Shirokov (4713_CR103) 1974; 5 4713_CR11 IP Egorov (4713_CR28) 1984; 16 4713_CR99 4713_CR16 A Morimoto (4713_CR73) 1976; 11 GA Sultanova (4713_CR164) 2016; 47 4713_CR17 VV Shurygin (4713_CR106) 2002 AA Salimov (4713_CR93) 2011; 35 AY Sultanov (4713_CR159) 2014; 156 4713_CR156 AY Sultanov (4713_CR138) 2005; 147 AY Sultanov (4713_CR151) 2009; 151 MV Morgun (4713_CR72) 2007; 38 AY Sultanov (4713_CR147) 2007; 38 4713_CR150 LB Smolyakova (4713_CR111) 2004; 5 J Dȩbecki (4713_CR14) 2008; 28 4713_CR87 AY Sultanov (4713_CR132) 2002; 33 AV Aminova (4713_CR5) 2010; 169 4713_CR81 4713_CR82 AY Sultanov (4713_CR158) 2008; 4 A Gezer (4713_CR33) 2015; 125 4713_CR85 4713_CR86 4713_CR83 YV Nikitina (4713_CR77) 2013; 4 4713_CR84 4713_CR166 4713_CR167 4713_CR168 4713_CR8 AY Sultanov (4713_CR148) 2007; 31 AA Salimov (4713_CR91) 2011; 32 VV Shurygin (4713_CR107) 2010; 169 A Gezer (4713_CR35) 2008; 33 AY Sultanov (4713_CR133) 2003; 11 4713_CR161 AA Salimov (4713_CR88) 1984; 16 AA Salimov (4713_CR89) 1994; 3 AY Sultanov (4713_CR146) 2007; 4 4713_CR38 4713_CR39 4713_CR37 A Magden (4713_CR50) 2001; 3 OA Monakhova (4713_CR59) 2002; 33 NS Sultanova (4713_CR169) 2002; 33 OA Monakhova (4713_CR65) 2006; 37 AY Sultanov (4713_CR145) 2006; 5 AY Sultanov (4713_CR149) 2007; 31 AY Sultanov (4713_CR120) 1996; 2 4713_CR29 IP Egorov (4713_CR26) 1978; 10 4713_CR172 AV Aminova (4713_CR2) 1974; 6 4713_CR173 A Gezer (4713_CR36) 2011; 2 4713_CR24 MV Morgun (4713_CR70) 2006; 37 BN Shapukov (4713_CR96) 1980; 12 AY Sultanov (4713_CR118) 1994; 22 4713_CR21 AY Sultanov (4713_CR153) 2010; 18 4713_CR22 4713_CR27 KM Budanov (4713_CR9) 2006; 37 4713_CR25 G Atanasiu (4713_CR7) 2006; 11 OA Monakhova (4713_CR63) 2005; 36 4713_CR20 I Kolář (4713_CR45) 2014; 50 AA Salimov (4713_CR92) 2009; 6 LB Smolyakova (4713_CR110) 2003; 24 4713_CR100 4713_CR101 NA Opokina (4713_CR78) 2005; 147 4713_CR102 4713_CR104 4713_CR105 AV Aminova (4713_CR3) 1979; 4 G Atanasiu (4713_CR6) 2007; 21 OA Monakhova (4713_CR60) 2003; 34 A Gezer (4713_CR32) 2014; 43 AA Salimov (4713_CR94) 2012; 103 BN Shapukov (4713_CR95) 1979; 5 4713_CR57 AY Sultanov (4713_CR160) 2003; 34 J Dȩbecki (4713_CR13) 2007; 92 NI Manina (4713_CR52) 2010; 22 NI Manina (4713_CR54) 2011; 9 4713_CR58 A Gezer (4713_CR34) 2008; 45 4713_CR109 OA Monakhova (4713_CR68) 2010; 41 4713_CR53 NA Opokina (4713_CR79) 2006; 11 AY Sultanov (4713_CR154) 2010; 18 AY Sultanov (4713_CR157) 2012; 91 4713_CR51 4713_CR112 IP Egorov (4713_CR23) 1948; 61 4713_CR113 4713_CR114 4713_CR115 4713_CR117 R Miron (4713_CR55) 1996; 41 VV Shurygin Jr (4713_CR108) 2009; 151 AY Sultanov (4713_CR121) 1997; 23 AY Sultanov (4713_CR152) 2010; 169 I Kolář (4713_CR41) 2000; 158 4713_CR46 4713_CR44 OA Monakhova (4713_CR64) 2005; 147 AY Sultanov (4713_CR119) 1995; 7 4713_CR47 4713_CR48 4713_CR42 AA Salimov (4713_CR90) 2003; 11 4713_CR40 |
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| Snippet | This paper is a review of results of studies of affine transformations in generalized spaces over real linear algebras over the past 15-20 years. This paper is a review of results of studies of affine transformations in generalized spaces over real linear algebras over the past 15-20 years. Keywords and... |
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| SubjectTerms | Affine transformations Algebra Mathematics Mathematics and Statistics Surveys |
| Title | Affine Transformations in Bundles |
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