Volume 35, Issue 2
Volume Difference Inequalities for the Polars of Mixed Complex Projection Bodies

Bo Han, Yuan-Yuan Zhang & Wei-Dong Wang

Commun. Math. Res., 35 (2019), pp. 149-158.

Published online: 2019-12

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  • Abstract

In this paper, based on the notion of mixed complex projection and generalized the recent works of other authors, we obtain some volume difference inequalities containing Brunn-Minkowski type inequality, Minkowski type inequality and Aleksandrov-Fenchel inequality for the polars of mixed complex projection bodies. 

  • Keywords

mixed complex projection body, polar, volume difference, Brunn-Minkowski type inequality, Minkowski type inequality

  • AMS Subject Headings

52A20, 52A39, 52A40

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

939963723@qq.com (Bo Han)

wangwd722@163.com (Wei-Dong Wang)

  • BibTex
  • RIS
  • TXT
@Article{CMR-35-149, author = {Han , Bo and Zhang , Yuan-Yuan and Wang , Wei-Dong}, title = {Volume Difference Inequalities for the Polars of Mixed Complex Projection Bodies}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {35}, number = {2}, pages = {149--158}, abstract = {

In this paper, based on the notion of mixed complex projection and generalized the recent works of other authors, we obtain some volume difference inequalities containing Brunn-Minkowski type inequality, Minkowski type inequality and Aleksandrov-Fenchel inequality for the polars of mixed complex projection bodies. 

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.02.06}, url = {http://global-sci.org/intro/article_detail/cmr/13486.html} }
TY - JOUR T1 - Volume Difference Inequalities for the Polars of Mixed Complex Projection Bodies AU - Han , Bo AU - Zhang , Yuan-Yuan AU - Wang , Wei-Dong JO - Communications in Mathematical Research VL - 2 SP - 149 EP - 158 PY - 2019 DA - 2019/12 SN - 35 DO - http://doi.org/10.13447/j.1674-5647.2019.02.06 UR - https://global-sci.org/intro/article_detail/cmr/13486.html KW - mixed complex projection body, polar, volume difference, Brunn-Minkowski type inequality, Minkowski type inequality AB -

In this paper, based on the notion of mixed complex projection and generalized the recent works of other authors, we obtain some volume difference inequalities containing Brunn-Minkowski type inequality, Minkowski type inequality and Aleksandrov-Fenchel inequality for the polars of mixed complex projection bodies. 

Bo Han, Yuan-yuan Zhang & Wei-Dong Wang. (2019). Volume Difference Inequalities for the Polars of Mixed Complex Projection Bodies. Communications in Mathematical Research . 35 (2). 149-158. doi:10.13447/j.1674-5647.2019.02.06
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